101102112011122 has 32 divisors (see below), whose sum is σ = 152810493176880. Its totient is φ = 50166616350720.

The previous prime is 101102112011107. The next prime is 101102112011149. The reversal of 101102112011122 is 221110211201101.

It can be written as a sum of positive squares in 8 ways, for example, as 51547819261761 + 49554292749361 = 7179681^2 + 7039481^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101102112011096 and 101102112011105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681992904 + ... + 682141132.

Almost surely, 2^{101102112011122} is an apocalyptic number.

101102112011122 is a deficient number, since it is larger than the sum of its proper divisors (51708381165758).

101102112011122 is a wasteful number, since it uses less digits than its factorization.

101102112011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152718.

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

Adding to 101102112011122 its reverse (221110211201101), we get a palindrome (322212323212223).

The spelling of 101102112011122 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, eleven thousand, one hundred twenty-two".