101012111001122 has 16 divisors (see below), whose sum is σ = 156803008879800. Its totient is φ = 48745776441600.

The previous prime is 101012111001107. The next prime is 101012111001127. The reversal of 101012111001122 is 221100111210101.

It can be written as a sum of positive squares in 4 ways, for example, as 93730106207761 + 7282004793361 = 9681431^2 + 2698519^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012111001097 and 101012111001106.

It is not an unprimeable number, because it can be changed into a prime (101012111001127) 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, 333614129 + ... + 333916772.

Almost surely, 2^{101012111001122} is an apocalyptic number.

101012111001122 is a deficient number, since it is larger than the sum of its proper divisors (55790897878678).

101012111001122 is a wasteful number, since it uses less digits than its factorization.

101012111001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667533541.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012111001122 its reverse (221100111210101), we get a palindrome (322112222211223).

The spelling of 101012111001122 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one thousand, one hundred twenty-two".