102100110100 has 36 divisors (see below), whose sum is σ = 221749646524. Its totient is φ = 40804577280.

The previous prime is 102100110041. The next prime is 102100110113. The reversal of 102100110100 is 1011001201.

It can be written as a sum of positive squares in 6 ways, for example, as 15431105284 + 86669004816 = 124222^2 + 294396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327459 + ... + 558058.

Almost surely, 2^102100110100 is an apocalyptic number.

102100110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100110100 is an abundant number, since it is smaller than the sum of its proper divisors (119649536424).

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

102100110100 is a wasteful number, since it uses less digits than its factorization.

102100110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886684 (or 886677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102100110100 its reverse (1011001201), we get a palindrome (103111111301).

The spelling of 102100110100 in words is "one hundred two billion, one hundred million, one hundred ten thousand, one hundred".