102102201000100 has 144 divisors (see below), whose sum is σ = 267460279668736. Its totient is φ = 33089385168000.

The previous prime is 102102201000071. The next prime is 102102201000101. The reversal of 102102201000100 is 1000102201201.

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

It is not an unprimeable number, because it can be changed into a prime (102102201000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53778186 + ... + 55644385.

Almost surely, 2^{102102201000100} is an apocalyptic number.

102102201000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102201000100 is an abundant number, since it is smaller than the sum of its proper divisors (165358078668636).

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

102102201000100 is a wasteful number, since it uses less digits than its factorization.

102102201000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109422666 (or 109422659 counting only the distinct ones).

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

Adding to 102102201000100 its reverse (1000102201201), we get a palindrome (103102303201301).

The spelling of 102102201000100 in words is "one hundred two trillion, one hundred two billion, two hundred one million, one hundred", and thus it is an aban number.