102100013100 has 216 divisors, whose sum is σ = 337758330000. Its totient is φ = 25725703680.

The previous prime is 102100013053. The next prime is 102100013111. The reversal of 102100013100 is 1310001201.

102100013100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102100013100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6644226 + ... + 6659574.

Almost surely, 2^102100013100 is an apocalyptic number.

102100013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168879165000).

102100013100 is an abundant number, since it is smaller than the sum of its proper divisors (235658316900).

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

102100013100 is a wasteful number, since it uses less digits than its factorization.

102100013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15777 (or 15767 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102100013100 its reverse (1310001201), we get a palindrome (103410014301).

The spelling of 102100013100 in words is "one hundred two billion, one hundred million, thirteen thousand, one hundred".