210210120202000 has 40 divisors (see below), whose sum is σ = 508288070653272. Its totient is φ = 84084048080000.

The previous prime is 210210120201997. The next prime is 210210120202003. The reversal of 210210120202000 is 202021012012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210210120201997) and next prime (210210120202003).

It can be written as a sum of positive squares in 4 ways, for example, as 16388927208976 + 193821192993024 = 4048324^2 + 13921968^2 .

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 (210210120202003) 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, 52552528051 + ... + 52552532050.

Almost surely, 2^{210210120202000} is an apocalyptic number.

210210120202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210210120202000 is an abundant number, since it is smaller than the sum of its proper divisors (298077950451272).

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

210210120202000 is a wasteful number, since it uses less digits than its factorization.

210210120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105105060124 (or 105105060108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210210120202000 its reverse (202021012012), we get a palindrome (210412141214012).

The spelling of 210210120202000 in words is "two hundred ten trillion, two hundred ten billion, one hundred twenty million, two hundred two thousand".