102102112100 has 18 divisors (see below), whose sum is σ = 221561583474. Its totient is φ = 40840844800.

The previous prime is 102102112069. The next prime is 102102112109. The reversal of 102102112100 is 1211201201.

It can be written as a sum of positive squares in 3 ways, for example, as 33553446976 + 68548665124 = 183176^2 + 261818^2 .

It is not an unprimeable number, because it can be changed into a prime (102102112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510510461 + ... + 510510660.

Almost surely, 2^102102112100 is an apocalyptic number.

102102112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102112100 is an abundant number, since it is smaller than the sum of its proper divisors (119459471374).

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

102102112100 is a wasteful number, since it uses less digits than its factorization.

102102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021021135 (or 1021021128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102102112100 its reverse (1211201201), we get a palindrome (103313313301).

The spelling of 102102112100 in words is "one hundred two billion, one hundred two million, one hundred twelve thousand, one hundred".