202101202101120 has 256 divisors, whose sum is σ = 753347340218880. Its totient is φ = 45120268247040.

The previous prime is 202101202101103. The next prime is 202101202101151. The reversal of 202101202101120 is 21101202101202.

202101202101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202101202101120² (a number of 29 digits) contains 22 as substring.

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 202101202101120.

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, 174274311 + ... + 175430150.

It is an arithmetic number, because the mean of its divisors is an integer number (2942763047730).

Almost surely, 2^{202101202101120} is an apocalyptic number.

202101202101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101202101120 is an abundant number, since it is smaller than the sum of its proper divisors (551246138117760).

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

202101202101120 is a wasteful number, since it uses less digits than its factorization.

202101202101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349704533 (or 349704521 counting only the distinct ones).

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

Adding to 202101202101120 its reverse (21101202101202), we get a palindrome (223202404202322).

The spelling of 202101202101120 in words is "two hundred two trillion, one hundred one billion, two hundred two million, one hundred one thousand, one hundred twenty".