102000122100100 has 108 divisors (see below), whose sum is σ = 263757389423220. Its totient is φ = 34118507673600.

The previous prime is 102000122100047. The next prime is 102000122100101. The reversal of 102000122100100 is 1001221000201.

It can be written as a sum of positive squares in 6 ways, for example, as 16121943465796 + 85878178634304 = 4015214^2 + 9267048^2 .

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 (102000122100101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 253657045 + ... + 254058844.

It is an arithmetic number, because the mean of its divisors is an integer number (2442198050215).

Almost surely, 2^{102000122100100} is an apocalyptic number.

102000122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000122100100 is an abundant number, since it is smaller than the sum of its proper divisors (161757267323120).

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

102000122100100 is a wasteful number, since it uses less digits than its factorization.

102000122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507715958 (or 507715944 counting only the distinct ones).

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

Adding to 102000122100100 its reverse (1001221000201), we get a palindrome (103001343100301).

The spelling of 102000122100100 in words is "one hundred two trillion, one hundred twenty-two million, one hundred thousand, one hundred".