102101010112100 has 72 divisors (see below), whose sum is σ = 244791741575808. Its totient is φ = 36766808742400.

The previous prime is 102101010112007. The next prime is 102101010112141. The reversal of 102101010112100 is 1211010101201.

It is a super-3 number, since 3×102101010112100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1305600416 + ... + 1305678615.

It is an arithmetic number, because the mean of its divisors is an integer number (3399885299664).

Almost surely, 2^{102101010112100} is an apocalyptic number.

102101010112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101010112100 is an abundant number, since it is smaller than the sum of its proper divisors (142690731463708).

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

102101010112100 is a wasteful number, since it uses less digits than its factorization.

102101010112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611279085 (or 2611279078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101010112100 its reverse (1211010101201), we get a palindrome (103312020213301).

The spelling of 102101010112100 in words is "one hundred two trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred".