102100102100 has 72 divisors (see below), whose sum is σ = 223992627096. Its totient is φ = 40392000000.

The previous prime is 102100102063. The next prime is 102100102141. The reversal of 102100102100 is 1201001201.

It can be written as a sum of positive squares in 12 ways, for example, as 856498756 + 101243603344 = 29266^2 + 318188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10307150 + ... + 10317050.

Almost surely, 2^102100102100 is an apocalyptic number.

102100102100 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 102100102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111996313548).

102100102100 is an abundant number, since it is smaller than the sum of its proper divisors (121892524996).

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

102100102100 is a wasteful number, since it uses less digits than its factorization.

102100102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11037 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100102100 its reverse (1201001201), we get a palindrome (103301103301).

The spelling of 102100102100 in words is "one hundred two billion, one hundred million, one hundred two thousand, one hundred".