101022021110120 has 128 divisors (see below), whose sum is σ = 269433636249600. Its totient is φ = 33679204358400.

The previous prime is 101022021110069. The next prime is 101022021110141. The reversal of 101022021110120 is 21011120220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022021110095 and 101022021110104.

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 31 ways as a sum of consecutive naturals, for example, 194643644 + ... + 195161963.

It is an arithmetic number, because the mean of its divisors is an integer number (2104950283200).

Almost surely, 2^{101022021110120} is an apocalyptic number.

101022021110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022021110120 is an abundant number, since it is smaller than the sum of its proper divisors (168411615139480).

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

101022021110120 is a wasteful number, since it uses less digits than its factorization.

101022021110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389805679 (or 389805675 counting only the distinct ones).

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

Adding to 101022021110120 its reverse (21011120220101), we get a palindrome (122033141330221).

The spelling of 101022021110120 in words is "one hundred one trillion, twenty-two billion, twenty-one million, one hundred ten thousand, one hundred twenty".