202111012111120 has 240 divisors, whose sum is σ = 583200580773888. Its totient is φ = 64721157795840.

The previous prime is 202111012110991. The next prime is 202111012111147. The reversal of 202111012111120 is 21111210111202.

It is a super-2 number, since 2×202111012111120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202111012111094 and 202111012111103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2846032 + ... + 20305711.

Almost surely, 2^{202111012111120} is an apocalyptic number.

202111012111120 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 202111012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291600290386944).

202111012111120 is an abundant number, since it is smaller than the sum of its proper divisors (381089568662768).

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

202111012111120 is a wasteful number, since it uses less digits than its factorization.

202111012111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23151918 (or 23151905 counting only the distinct ones).

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

Adding to 202111012111120 its reverse (21111210111202), we get a palindrome (223222222222322).

The spelling of 202111012111120 in words is "two hundred two trillion, one hundred eleven billion, twelve million, one hundred eleven thousand, one hundred twenty".