210020102122000 has 80 divisors (see below), whose sum is σ = 507831866738352. Its totient is φ = 84007501593600.

The previous prime is 210020102121979. The next prime is 210020102122021. The reversal of 210020102122000 is 221201020012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210020102121979) and next prime (210020102122021).

It can be written as a sum of positive squares in 8 ways, for example, as 129291817870336 + 80728284251664 = 11370656^2 + 8984892^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488571162 + ... + 489000838.

Almost surely, 2^{210020102122000} is an apocalyptic number.

210020102122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210020102122000 is an abundant number, since it is smaller than the sum of its proper divisors (297811764616352).

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

210020102122000 is a wasteful number, since it uses less digits than its factorization.

210020102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674093 (or 674077 counting only the distinct ones).

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

Adding to 210020102122000 its reverse (221201020012), we get a palindrome (210241303142012).

The spelling of 210020102122000 in words is "two hundred ten trillion, twenty billion, one hundred two million, one hundred twenty-two thousand".