202122021012100 has 144 divisors (see below), whose sum is σ = 528202062904320. Its totient is φ = 65582333942400.

The previous prime is 202122021012091. The next prime is 202122021012169. The reversal of 202122021012100 is 1210120221202.

It is a happy number.

It is a super-2 number, since 2×202122021012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4571265 + ... + 20618935.

It is an arithmetic number, because the mean of its divisors is an integer number (3668069881280).

Almost surely, 2^{202122021012100} is an apocalyptic number.

202122021012100 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 202122021012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264101031452160).

202122021012100 is an abundant number, since it is smaller than the sum of its proper divisors (326080041892220).

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

202122021012100 is a wasteful number, since it uses less digits than its factorization.

202122021012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048658 (or 16048651 counting only the distinct ones).

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

Adding to 202122021012100 its reverse (1210120221202), we get a palindrome (203332141233302).

The spelling of 202122021012100 in words is "two hundred two trillion, one hundred twenty-two billion, twenty-one million, twelve thousand, one hundred".