101112211201122 has 48 divisors (see below), whose sum is σ = 239105605965408. Its totient is φ = 30625563133440.

The previous prime is 101112211201073. The next prime is 101112211201153. The reversal of 101112211201122 is 221102112211101.

It is a happy number.

101112211201122 is a `hidden beast` number, since 10 + 111 + 221 + 1 + 201 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101112211201095 and 101112211201104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120421128 + ... + 121257875.

It is an arithmetic number, because the mean of its divisors is an integer number (4981366790946).

Almost surely, 2^{101112211201122} is an apocalyptic number.

101112211201122 is an abundant number, since it is smaller than the sum of its proper divisors (137993394764286).

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

101112211201122 is a wasteful number, since it uses less digits than its factorization.

101112211201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241681135 (or 241681132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112211201122 its reverse (221102112211101), we get a palindrome (322214323412223).

The spelling of 101112211201122 in words is "one hundred one trillion, one hundred twelve billion, two hundred eleven million, two hundred one thousand, one hundred twenty-two".