101011000010000 has 100 divisors (see below), whose sum is σ = 258943481508492. Its totient is φ = 38027670528000.

The previous prime is 101011000009973. The next prime is 101011000010101. The reversal of 101011000010000 is 10000110101.

It can be written as a sum of positive squares in 10 ways, for example, as 53363843163136 + 47647156846864 = 7305056^2 + 6902692^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

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 19 ways as a sum of consecutive naturals, for example, 296921177 + ... + 297261176.

Almost surely, 2^{101011000010000} is an apocalyptic number.

101011000010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011000010000 is an abundant number, since it is smaller than the sum of its proper divisors (157932481498492).

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

101011000010000 is an equidigital number, since it uses as much as digits as its factorization.

101011000010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594182398 (or 594182377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101011000010000 its reverse (10000110101), we get a palindrome (101021000120101).

The spelling of 101011000010000 in words is "one hundred one trillion, eleven billion, ten thousand".