102001022112102 has 64 divisors (see below), whose sum is σ = 208901863710720. Its totient is φ = 33193365359616.

The previous prime is 102001022112071. The next prime is 102001022112107. The reversal of 102001022112102 is 201211220100201.

It is a super-2 number, since 2×102001022112102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001022112107) 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 31 ways as a sum of consecutive naturals, for example, 46353868 + ... + 48504464.

It is an arithmetic number, because the mean of its divisors is an integer number (3264091620480).

Almost surely, 2^{102001022112102} is an apocalyptic number.

102001022112102 is an abundant number, since it is smaller than the sum of its proper divisors (106900841598618).

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

102001022112102 is a wasteful number, since it uses less digits than its factorization.

102001022112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151725.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102001022112102 its reverse (201211220100201), we get a palindrome (303212242212303).

The spelling of 102001022112102 in words is "one hundred two trillion, one billion, twenty-two million, one hundred twelve thousand, one hundred two".