121022120010100 has 18 divisors (see below), whose sum is σ = 262618000422134. Its totient is φ = 48408848004000.

The previous prime is 121022120010061. The next prime is 121022120010137. The reversal of 121022120010100 is 1010021220121.

It can be written as a sum of positive squares in 3 ways, for example, as 4224948699024 + 116797171311076 = 2055468^2 + 10807274^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605110599951 + ... + 605110600150.

Almost surely, 2^{121022120010100} is an apocalyptic number.

121022120010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022120010100 is an abundant number, since it is smaller than the sum of its proper divisors (141595880412034).

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

121022120010100 is a wasteful number, since it uses less digits than its factorization.

121022120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210221200115 (or 1210221200108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121022120010100 its reverse (1010021220121), we get a palindrome (122032141230221).

The spelling of 121022120010100 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twenty million, ten thousand, one hundred".