202100211202120 has 512 divisors, whose sum is σ = 604636647874560. Its totient is φ = 58937978880000.

The previous prime is 202100211202103. The next prime is 202100211202139. The reversal of 202100211202120 is 21202112001202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202100211202094 and 202100211202103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 593681560 + ... + 594021880.

It is an arithmetic number, because the mean of its divisors is an integer number (1180930952880).

Almost surely, 2^{202100211202120} is an apocalyptic number.

202100211202120 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 202100211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302318323937280).

202100211202120 is an abundant number, since it is smaller than the sum of its proper divisors (402536436672440).

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

202100211202120 is a wasteful number, since it uses less digits than its factorization.

202100211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340557 (or 340553 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202100211202120 its reverse (21202112001202), we get a palindrome (223302323203322).

The spelling of 202100211202120 in words is "two hundred two trillion, one hundred billion, two hundred eleven million, two hundred two thousand, one hundred twenty".