202111121010120 has 256 divisors, whose sum is σ = 700581860259840. Its totient is φ = 45689949032448.

The previous prime is 202111121010107. The next prime is 202111121010173. The reversal of 202111121010120 is 21010121111202.

It is a happy number.

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 202111121010120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42047899 + ... + 46607381.

It is an arithmetic number, because the mean of its divisors is an integer number (2736647891640).

Almost surely, 2^{202111121010120} is an apocalyptic number.

202111121010120 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 202111121010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350290930129920).

202111121010120 is an abundant number, since it is smaller than the sum of its proper divisors (498470739249720).

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

202111121010120 is a wasteful number, since it uses less digits than its factorization.

202111121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560084 (or 4560080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 202111121010120 its reverse (21010121111202), we get a palindrome (223121242121322).

The spelling of 202111121010120 in words is "two hundred two trillion, one hundred eleven billion, one hundred twenty-one million, ten thousand, one hundred twenty".