202121100112000 has 128 divisors (see below), whose sum is σ = 502533620812080. Its totient is φ = 80846825472000.

The previous prime is 202121100111989. The next prime is 202121100112007. The reversal of 202121100112000 is 211001121202.

It can be written as a sum of positive squares in 8 ways, for example, as 28963082373696 + 173158017738304 = 5381736^2 + 13158952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×202121100112000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202121100112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102004302 + ... + 1102187698.

Almost surely, 2^{202121100112000} is an apocalyptic number.

202121100112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121100112000 is an abundant number, since it is smaller than the sum of its proper divisors (300412520700080).

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

202121100112000 is an equidigital number, since it uses as much as digits as its factorization.

202121100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252307 (or 252285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202121100112000 its reverse (211001121202), we get a palindrome (202332101233202).

The spelling of 202121100112000 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand".