202120112100120 has 128 divisors (see below), whose sum is σ = 609609111272640. Its totient is φ = 53610014638080.

The previous prime is 202120112100107. The next prime is 202120112100139. The reversal of 202120112100120 is 21001211021202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202120112100120.

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, 131642460 + ... + 133168980.

Almost surely, 2^{202120112100120} is an apocalyptic number.

202120112100120 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 202120112100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304804555636320).

202120112100120 is an abundant number, since it is smaller than the sum of its proper divisors (407488999172520).

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

202120112100120 is a wasteful number, since it uses less digits than its factorization.

202120112100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532445 (or 1532441 counting only the distinct ones).

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

Adding to 202120112100120 its reverse (21001211021202), we get a palindrome (223121323121322).

The spelling of 202120112100120 in words is "two hundred two trillion, one hundred twenty billion, one hundred twelve million, one hundred thousand, one hundred twenty".