10122102010000 has 50 divisors (see below), whose sum is σ = 24506621200622. Its totient is φ = 4048840800000.

The previous prime is 10122102009959. The next prime is 10122102010061. The reversal of 10122102010000 is 1020122101.

It can be written as a sum of positive squares in 5 ways, for example, as 5809468960656 + 4312633049344 = 2410284^2 + 2076688^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 506095101 + ... + 506115100.

Almost surely, 2^{10122102010000} is an apocalyptic number.

10122102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122102010000 is an abundant number, since it is smaller than the sum of its proper divisors (14384519190622).

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

10122102010000 is an equidigital number, since it uses as much as digits as its factorization.

10122102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012210229 (or 1012210208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122102010000 its reverse (1020122101), we get a palindrome (10123122132101).

The spelling of 10122102010000 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, ten thousand".