202101122021120 has 288 divisors, whose sum is σ = 585842253696000. Its totient is φ = 65210680147968.

The previous prime is 202101122021027. The next prime is 202101122021131. The reversal of 202101122021120 is 21120221101202.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 2248045931 + ... + 2248135829.

It is an arithmetic number, because the mean of its divisors is an integer number (2034174492000).

Almost surely, 2^{202101122021120} is an apocalyptic number.

202101122021120 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 202101122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292921126848000).

202101122021120 is an abundant number, since it is smaller than the sum of its proper divisors (383741131674880).

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

202101122021120 is a wasteful number, since it uses less digits than its factorization.

202101122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104703 (or 104689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202101122021120 its reverse (21120221101202), we get a palindrome (223221343122322).

The spelling of 202101122021120 in words is "two hundred two trillion, one hundred one billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".