101121122102120 has 32 divisors (see below), whose sum is σ = 231815402559720. Its totient is φ = 39685270560000.

The previous prime is 101121122102027. The next prime is 101121122102149. The reversal of 101121122102120 is 21201221121101.

It can be written as a sum of positive squares in 4 ways, for example, as 99753312324964 + 1367809777156 = 9987658^2 + 1169534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23849319131 + ... + 23849323370.

Almost surely, 2^{101121122102120} is an apocalyptic number.

101121122102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121122102120 is an abundant number, since it is smaller than the sum of its proper divisors (130694280457600).

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

101121122102120 is a wasteful number, since it uses less digits than its factorization.

101121122102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47698642565 (or 47698642561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121122102120 its reverse (21201221121101), we get a palindrome (122322343223221).

The spelling of 101121122102120 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".