1010122120010 has 16 divisors (see below), whose sum is σ = 1820434471272. Its totient is φ = 403556702400.

The previous prime is 1010122120001. The next prime is 1010122120019. The reversal of 1010122120010 is 100212210101.

It is an interprime number because it is at equal distance from previous prime (1010122120001) and next prime (1010122120019).

It can be written as a sum of positive squares in 4 ways, for example, as 805522405081 + 204599714929 = 897509^2 + 452327^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010122119973 and 1010122120000.

It is not an unprimeable number, because it can be changed into a prime (1010122120019) 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, 61509581 + ... + 61526000.

Almost surely, 2^{1010122120010} is an apocalyptic number.

1010122120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010122120010 is a deficient number, since it is larger than the sum of its proper divisors (810312351262).

1010122120010 is a wasteful number, since it uses less digits than its factorization.

1010122120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123036409.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010122120010 its reverse (100212210101), we get a palindrome (1110334330111).

Subtracting from 1010122120010 its reverse (100212210101), we obtain a palindrome (909909909909).

The spelling of 1010122120010 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, ten".