102122131100 has 144 divisors (see below), whose sum is σ = 247385166336. Its totient is φ = 36273024000.

The previous prime is 102122131087. The next prime is 102122131129. The reversal of 102122131100 is 1131221201.

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, 30656435 + ... + 30659765.

It is an arithmetic number, because the mean of its divisors is an integer number (1717952544).

Almost surely, 2^102122131100 is an apocalyptic number.

102122131100 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 102122131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123692583168).

102122131100 is an abundant number, since it is smaller than the sum of its proper divisors (145263035236).

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

102122131100 is a wasteful number, since it uses less digits than its factorization.

102122131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102122131100 its reverse (1131221201), we get a palindrome (103253352301).

The spelling of 102122131100 in words is "one hundred two billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred".