102101112001122 has 64 divisors (see below), whose sum is σ = 220630338190080. Its totient is φ = 31312845849600.

The previous prime is 102101112001037. The next prime is 102101112001139. The reversal of 102101112001122 is 221100211101201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438686622 + ... + 438919302.

It is an arithmetic number, because the mean of its divisors is an integer number (3447349034220).

Almost surely, 2^{102101112001122} is an apocalyptic number.

102101112001122 is an abundant number, since it is smaller than the sum of its proper divisors (118529226188958).

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

102101112001122 is a wasteful number, since it uses less digits than its factorization.

102101112001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251099.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101112001122 its reverse (221100211101201), we get a palindrome (323201323102323).

The spelling of 102101112001122 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, one thousand, one hundred twenty-two".