10122110100010 has 16 divisors (see below), whose sum is σ = 18231560505000. Its totient is φ = 4046230190016.

The previous prime is 10122110099999. The next prime is 10122110100023. The reversal of 10122110100010 is 1000101122101.

It can be written as a sum of positive squares in 4 ways, for example, as 8948001325041 + 1174108774969 = 2991321^2 + 1083563^2 .

It is a super-2 number, since 2×10122110100010² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10122110100010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326714985 + ... + 326745964.

Almost surely, 2^{10122110100010} is an apocalyptic number.

10122110100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122110100010 is a deficient number, since it is larger than the sum of its proper divisors (8109450404990).

10122110100010 is a wasteful number, since it uses less digits than its factorization.

10122110100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653462505.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10122110100010 its reverse (1000101122101), we get a palindrome (11122211222111).

The spelling of 10122110100010 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand, ten".