202101002120120 has 128 divisors (see below), whose sum is σ = 483096943929600. Its totient is φ = 75828975077376.

The previous prime is 202101002120057. The next prime is 202101002120131. The reversal of 202101002120120 is 21021200101202.

It is a junction number, because it is equal to n+sod(n) for n = 202101002120095 and 202101002120104.

It is a congruent number.

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, 2116569899 + ... + 2116665381.

It is an arithmetic number, because the mean of its divisors is an integer number (3774194874450).

Almost surely, 2^{202101002120120} is an apocalyptic number.

202101002120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101002120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241548471964800).

202101002120120 is an abundant number, since it is smaller than the sum of its proper divisors (280995941809480).

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

202101002120120 is a wasteful number, since it uses less digits than its factorization.

202101002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105957 (or 105953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202101002120120 its reverse (21021200101202), we get a palindrome (223122202221322).

The spelling of 202101002120120 in words is "two hundred two trillion, one hundred one billion, two million, one hundred twenty thousand, one hundred twenty".