100123022302120 has 128 divisors (see below), whose sum is σ = 226658906100000. Its totient is φ = 39804243148800.

The previous prime is 100123022302027. The next prime is 100123022302271. The reversal of 100123022302120 is 21203220321001.

It can be written as a sum of positive squares in 16 ways, for example, as 56602059152356 + 43520963149764 = 7523434^2 + 6597042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11329974342 + ... + 11329983178.

Almost surely, 2^{100123022302120} is an apocalyptic number.

100123022302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123022302120 is an abundant number, since it is smaller than the sum of its proper divisors (126535883797880).

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

100123022302120 is a wasteful number, since it uses less digits than its factorization.

100123022302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11279 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100123022302120 its reverse (21203220321001), we get a palindrome (121326242623121).

The spelling of 100123022302120 in words is "one hundred trillion, one hundred twenty-three billion, twenty-two million, three hundred two thousand, one hundred twenty".