102122020211112 has 256 divisors, whose sum is σ = 316703578752000. Its totient is φ = 30221985427200.

The previous prime is 102122020211111. The next prime is 102122020211249. The reversal of 102122020211112 is 211112020221201.

102122020211112 is a `hidden beast` number, since 102 + 1 + 220 + 20 + 211 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102122020211111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737481562 + ... + 737620022.

It is an arithmetic number, because the mean of its divisors is an integer number (1237123354500).

Almost surely, 2^{102122020211112} is an apocalyptic number.

102122020211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122020211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158351789376000).

102122020211112 is an abundant number, since it is smaller than the sum of its proper divisors (214581558540888).

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

102122020211112 is a wasteful number, since it uses less digits than its factorization.

102122020211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145749 (or 145739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122020211112 its reverse (211112020221201), we get a palindrome (313234040432313).

The spelling of 102122020211112 in words is "one hundred two trillion, one hundred twenty-two billion, twenty million, two hundred eleven thousand, one hundred twelve".