102101110102100 has 72 divisors (see below), whose sum is σ = 227571781041528. Its totient is φ = 39737513779200.

The previous prime is 102101110102099. The next prime is 102101110102163. The reversal of 102101110102100 is 1201011101201.

It can be written as a sum of positive squares in 12 ways, for example, as 55306261965124 + 46794848136976 = 7436818^2 + 6840676^2 .

It is a super-2 number, since 2×102101110102100² (a number of 29 digits) contains 22 as substring.

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, 31852349 + ... + 34910948.

Almost surely, 2^{102101110102100} is an apocalyptic number.

102101110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101110102100 is an abundant number, since it is smaller than the sum of its proper divisors (125470670939428).

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

102101110102100 is a wasteful number, since it uses less digits than its factorization.

102101110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66763725 (or 66763718 counting only the distinct ones).

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

Adding to 102101110102100 its reverse (1201011101201), we get a palindrome (103302121203301).

The spelling of 102101110102100 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, one hundred two thousand, one hundred".