1020122112112 has 80 divisors (see below), whose sum is σ = 2031585684480. Its totient is φ = 496049299200.

The previous prime is 1020122112059. The next prime is 1020122112133. The reversal of 1020122112112 is 2112112210201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108854787 + ... + 108864157.

It is an arithmetic number, because the mean of its divisors is an integer number (25394821056).

Almost surely, 2^{1020122112112} is an apocalyptic number.

It is an amenable number.

1020122112112 is a deficient number, since it is larger than the sum of its proper divisors (1011463572368).

1020122112112 is a wasteful number, since it uses less digits than its factorization.

1020122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1020122112112 its reverse (2112112210201), we get a palindrome (3132234322313).

The spelling of 1020122112112 in words is "one trillion, twenty billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".