102021211110112 has 288 divisors, whose sum is σ = 243173886056640. Its totient is φ = 41267039846400.

The previous prime is 102021211110107. The next prime is 102021211110113. The reversal of 102021211110112 is 211011112120201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021211110113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35960947158 + ... + 35960949994.

It is an arithmetic number, because the mean of its divisors is an integer number (844353771030).

Almost surely, 2^{102021211110112} 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 102021211110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121586943028320).

102021211110112 is an abundant number, since it is smaller than the sum of its proper divisors (141152674946528).

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

102021211110112 is a wasteful number, since it uses less digits than its factorization.

102021211110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4375 counting only the distinct ones).

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

Adding to 102021211110112 its reverse (211011112120201), we get a palindrome (313032323230313).

The spelling of 102021211110112 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred ten thousand, one hundred twelve".