120001101012 has 36 divisors (see below), whose sum is σ = 326669665140. Its totient is φ = 36923415552.

The previous prime is 120001100983. The next prime is 120001101067. The reversal of 120001101012 is 210101100021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28024768836 + 91976332176 = 167406^2 + 303276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120001100985 and 120001101003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128205837 + ... + 128206772.

It is an arithmetic number, because the mean of its divisors is an integer number (9074157365).

Almost surely, 2^120001101012 is an apocalyptic number.

120001101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120001101012 is an abundant number, since it is smaller than the sum of its proper divisors (206668564128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120001101012 is a wasteful number, since it uses less digits than its factorization.

120001101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256412632 (or 256412627 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120001101012 its reverse (210101100021), we get a palindrome (330102201033).

Subtracting 120001101012 from its reverse (210101100021), we obtain a palindrome (90099999009).

The spelling of 120001101012 in words is "one hundred twenty billion, one million, one hundred one thousand, twelve".