100121020220112 has 80 divisors (see below), whose sum is σ = 258785727700992. Its totient is φ = 33355643650560.

The previous prime is 100121020220107. The next prime is 100121020220119. The reversal of 100121020220112 is 211022020121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121020220091 and 100121020220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121020220119) 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 15 ways as a sum of consecutive naturals, for example, 972837937 + ... + 972940847.

Almost surely, 2^{100121020220112} is an apocalyptic number.

100121020220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121020220112 is an abundant number, since it is smaller than the sum of its proper divisors (158664707480880).

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

100121020220112 is a wasteful number, since it uses less digits than its factorization.

100121020220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113676 (or 113670 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121020220112 its reverse (211022020121001), we get a palindrome (311143040341113).

The spelling of 100121020220112 in words is "one hundred trillion, one hundred twenty-one billion, twenty million, two hundred twenty thousand, one hundred twelve".