210122110120000 has 140 divisors (see below), whose sum is σ = 561114125062876. Its totient is φ = 77583548160000.

The previous prime is 210122110119979. The next prime is 210122110120007. The reversal of 210122110120000 is 21011221012.

It can be written as a sum of positive squares in 10 ways, for example, as 201098718941184 + 9023391178816 = 14180928^2 + 3003896^2 .

It is a super-2 number, since 2×210122110120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (210122110120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201520491 + ... + 202560490.

Almost surely, 2^{210122110120000} is an apocalyptic number.

210122110120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122110120000 is an abundant number, since it is smaller than the sum of its proper divisors (350992014942876).

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

210122110120000 is an equidigital number, since it uses as much as digits as its factorization.

210122110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404081026 (or 404081001 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210122110120000 its reverse (21011221012), we get a palindrome (210143121341012).

The spelling of 210122110120000 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand".