101112111126 has 48 divisors (see below), whose sum is σ = 236805463440. Its totient is φ = 30995743680.

The previous prime is 101112111077. The next prime is 101112111127. The reversal of 101112111126 is 621111211101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112111099 and 101112111108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112111127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740220 + ... + 866111.

It is an arithmetic number, because the mean of its divisors is an integer number (4933447155).

Almost surely, 2^101112111126 is an apocalyptic number.

101112111126 is an abundant number, since it is smaller than the sum of its proper divisors (135693352314).

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

101112111126 is a wasteful number, since it uses less digits than its factorization.

101112111126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606621 (or 1606618 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101112111126 its reverse (621111211101), we get a palindrome (722223322227).

The spelling of 101112111126 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-six".