202001012111120 has 80 divisors (see below), whose sum is σ = 469853082000432. Its totient is φ = 80765878272000.

The previous prime is 202001012111117. The next prime is 202001012111137. The reversal of 202001012111120 is 21111210100202.

It can be written as a sum of positive squares in 8 ways, for example, as 97549914013696 + 104451098097424 = 9876736^2 + 10220132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 202001012111095 and 202001012111104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905383234 + ... + 1905489246.

Almost surely, 2^{202001012111120} is an apocalyptic number.

202001012111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001012111120 is an abundant number, since it is smaller than the sum of its proper divisors (267852069889312).

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

202001012111120 is a wasteful number, since it uses less digits than its factorization.

202001012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115980 (or 115974 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202001012111120 its reverse (21111210100202), we get a palindrome (223112222211322).

The spelling of 202001012111120 in words is "two hundred two trillion, one billion, twelve million, one hundred eleven thousand, one hundred twenty".