202121212210112 has 224 divisors, whose sum is σ = 465395115171840. Its totient is φ = 86326544240640.

The previous prime is 202121212210061. The next prime is 202121212210123. The reversal of 202121212210112 is 211012212121202.

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, 2054257814 + ... + 2054356202.

It is an arithmetic number, because the mean of its divisors is an integer number (2077656764160).

Almost surely, 2^{202121212210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121212210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232697557585920).

202121212210112 is an abundant number, since it is smaller than the sum of its proper divisors (263273902961728).

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

202121212210112 is a wasteful number, since it uses less digits than its factorization.

202121212210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101931 (or 101921 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202121212210112 its reverse (211012212121202), we get a palindrome (413133424331314).

The spelling of 202121212210112 in words is "two hundred two trillion, one hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".