102102111210112 has 192 divisors, whose sum is σ = 236108101824000. Its totient is φ = 43693957122048.

The previous prime is 102102111210103. The next prime is 102102111210149. The reversal of 102102111210112 is 211012111201201.

It is a super-2 number, since 2×102102111210112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26424889 + ... + 30041287.

It is an arithmetic number, because the mean of its divisors is an integer number (1229729697000).

Almost surely, 2^{102102111210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118054050912000).

102102111210112 is an abundant number, since it is smaller than the sum of its proper divisors (134005990613888).

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

102102111210112 is a wasteful number, since it uses less digits than its factorization.

102102111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616511 (or 3616480 counting only the distinct ones).

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

Adding to 102102111210112 its reverse (211012111201201), we get a palindrome (313114222411313).

The spelling of 102102111210112 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".