202100201211020 has 192 divisors, whose sum is σ = 517390142201856. Its totient is φ = 64732376862720.

The previous prime is 202100201211019. The next prime is 202100201211047. The reversal of 202100201211020 is 20112102001202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202100201210986 and 202100201211004.

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, 186773669 + ... + 187852611.

It is an arithmetic number, because the mean of its divisors is an integer number (2694740323968).

Almost surely, 2^{202100201211020} is an apocalyptic number.

202100201211020 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 202100201211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258695071100928).

202100201211020 is an abundant number, since it is smaller than the sum of its proper divisors (315289940990836).

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

202100201211020 is a wasteful number, since it uses less digits than its factorization.

202100201211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079560 (or 1079558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202100201211020 its reverse (20112102001202), we get a palindrome (222212303212222).

The spelling of 202100201211020 in words is "two hundred two trillion, one hundred billion, two hundred one million, two hundred eleven thousand, twenty".