102101022110100 has 144 divisors (see below), whose sum is σ = 318143810062400. Its totient is φ = 25131967027200.

The previous prime is 102101022110077. The next prime is 102101022110231. The reversal of 102101022110100 is 1011220101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178494351 + ... + 179065449.

Almost surely, 2^{102101022110100} is an apocalyptic number.

102101022110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101022110100 is an abundant number, since it is smaller than the sum of its proper divisors (216042787952300).

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

102101022110100 is a wasteful number, since it uses less digits than its factorization.

102101022110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616970 (or 616963 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101022110100 its reverse (1011220101201), we get a palindrome (103112242211301).

The spelling of 102101022110100 in words is "one hundred two trillion, one hundred one billion, twenty-two million, one hundred ten thousand, one hundred".