102112022100 has 144 divisors (see below), whose sum is σ = 322434362880. Its totient is φ = 24744316800.

The previous prime is 102112022087. The next prime is 102112022113. The reversal of 102112022100 is 1220211201.

It is an interprime number because it is at equal distance from previous prime (102112022087) and next prime (102112022113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10948039 + ... + 10957361.

It is an arithmetic number, because the mean of its divisors is an integer number (2239127520).

Almost surely, 2^102112022100 is an apocalyptic number.

102112022100 is a gapful number since it is divisible by the number (10) 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 102112022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161217181440).

102112022100 is an abundant number, since it is smaller than the sum of its proper divisors (220322340780).

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

102112022100 is a wasteful number, since it uses less digits than its factorization.

102112022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102112022100 its reverse (1220211201), we get a palindrome (103332233301).

The spelling of 102112022100 in words is "one hundred two billion, one hundred twelve million, twenty-two thousand, one hundred".