210122200202000 has 40 divisors (see below), whose sum is σ = 508075480093272. Its totient is φ = 84048880080000.

The previous prime is 210122200201967. The next prime is 210122200202003. The reversal of 210122200202000 is 202002221012.

210122200202000 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 4 ways, for example, as 6370899076096 + 203751301125904 = 2524064^2 + 14274148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (210122200202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52530548051 + ... + 52530552050.

Almost surely, 2^{210122200202000} is an apocalyptic number.

210122200202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122200202000 is an abundant number, since it is smaller than the sum of its proper divisors (297953279891272).

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

210122200202000 is a wasteful number, since it uses less digits than its factorization.

210122200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105061100124 (or 105061100108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 210122200202000 its reverse (202002221012), we get a palindrome (210324202423012).

The spelling of 210122200202000 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred million, two hundred two thousand".