210021002122100 has 36 divisors (see below), whose sum is σ = 490802926500684. Its totient is φ = 77546216167680.

The previous prime is 210021002122097. The next prime is 210021002122177. The reversal of 210021002122100 is 1221200120012.

210021002122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 27459234904336 + 182561767217764 = 5240156^2 + 13511542^2 .

It is a super-2 number, since 2×210021002122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80777307209 + ... + 80777309808.

It is an arithmetic number, because the mean of its divisors is an integer number (13633414625019).

Almost surely, 2^{210021002122100} is an apocalyptic number.

210021002122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021002122100 is an abundant number, since it is smaller than the sum of its proper divisors (280781924378584).

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

210021002122100 is a wasteful number, since it uses less digits than its factorization.

210021002122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161554617044 (or 161554617037 counting only the distinct ones).

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

Adding to 210021002122100 its reverse (1221200120012), we get a palindrome (211242202242112).

The spelling of 210021002122100 in words is "two hundred ten trillion, twenty-one billion, two million, one hundred twenty-two thousand, one hundred".