210120121010000 has 100 divisors (see below), whose sum is σ = 508729353411972. Its totient is φ = 84046804608000.

The previous prime is 210120121009969. The next prime is 210120121010021. The reversal of 210120121010000 is 10121021012.

210120121010000 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 10 ways, for example, as 198633281687824 + 11486839322176 = 14093732^2 + 3389224^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 992464154 + ... + 992675846.

Almost surely, 2^{210120121010000} is an apocalyptic number.

210120121010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120121010000 is an abundant number, since it is smaller than the sum of its proper divisors (298609232401972).

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

210120121010000 is an equidigital number, since it uses as much as digits as its factorization.

210120121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310978 (or 310957 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210120121010000 its reverse (10121021012), we get a palindrome (210130242031012).

The spelling of 210120121010000 in words is "two hundred ten trillion, one hundred twenty billion, one hundred twenty-one million, ten thousand".