102022112000120 has 32 divisors (see below), whose sum is σ = 247207425232320. Its totient is φ = 37669702892160.

The previous prime is 102022112000099. The next prime is 102022112000129. The reversal of 102022112000120 is 21000211220201.

It is a super-2 number, since 2×102022112000120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022112000095 and 102022112000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022112000129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98098184096 + ... + 98098185135.

It is an arithmetic number, because the mean of its divisors is an integer number (7725232038510).

Almost surely, 2^{102022112000120} is an apocalyptic number.

102022112000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022112000120 is an abundant number, since it is smaller than the sum of its proper divisors (145185313232200).

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

102022112000120 is a wasteful number, since it uses less digits than its factorization.

102022112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196196369255 (or 196196369251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022112000120 its reverse (21000211220201), we get a palindrome (123022323220321).

The spelling of 102022112000120 in words is "one hundred two trillion, twenty-two billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.