102032122100022 has 16 divisors (see below), whose sum is σ = 226738049111280. Its totient is φ = 34010707366656.

The previous prime is 102032122100021. The next prime is 102032122100131. The reversal of 102032122100022 is 220001221230201.

102032122100022 is a `hidden beast` number, since 102 + 0 + 321 + 221 + 0 + 0 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102032122099968 and 102032122100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032122100021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 944741871243 + ... + 944741871350.

It is an arithmetic number, because the mean of its divisors is an integer number (14171128069455).

Almost surely, 2^{102032122100022} is an apocalyptic number.

102032122100022 is an abundant number, since it is smaller than the sum of its proper divisors (124705927011258).

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

102032122100022 is a wasteful number, since it uses less digits than its factorization.

102032122100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889483742604 (or 1889483742598 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102032122100022 its reverse (220001221230201), we get a palindrome (322033343330223).

The spelling of 102032122100022 in words is "one hundred two trillion, thirty-two billion, one hundred twenty-two million, one hundred thousand, twenty-two".