101101001122220 has 144 divisors (see below), whose sum is σ = 242240238382464. Its totient is φ = 35391919833600.

The previous prime is 101101001122189. The next prime is 101101001122249. The reversal of 101101001122220 is 22221100101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101001122195 and 101101001122204.

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 47 ways as a sum of consecutive naturals, for example, 347747 + ... + 14224026.

It is an arithmetic number, because the mean of its divisors is an integer number (1682223877656).

Almost surely, 2^{101101001122220} is an apocalyptic number.

101101001122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101001122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121120119191232).

101101001122220 is an abundant number, since it is smaller than the sum of its proper divisors (141139237260244).

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

101101001122220 is a wasteful number, since it uses less digits than its factorization.

101101001122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571912 (or 14571899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101001122220 its reverse (22221100101101), we get a palindrome (123322101223321).

The spelling of 101101001122220 in words is "one hundred one trillion, one hundred one billion, one million, one hundred twenty-two thousand, two hundred twenty".