102100122000100 has 72 divisors (see below), whose sum is σ = 254193549321600. Its totient is φ = 34869546885120.

The previous prime is 102100122000053. The next prime is 102100122000119. The reversal of 102100122000100 is 1000221001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 283589200 + ... + 283948999.

It is an arithmetic number, because the mean of its divisors is an integer number (3530465962800).

Almost surely, 2^{102100122000100} is an apocalyptic number.

102100122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100122000100 is an abundant number, since it is smaller than the sum of its proper divisors (152093427321500).

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

102100122000100 is a wasteful number, since it uses less digits than its factorization.

102100122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567538477 (or 567538470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100122000100 its reverse (1000221001201), we get a palindrome (103100343001301).

The spelling of 102100122000100 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, one hundred", and thus it is an aban number.