1012100122112 has 80 divisors (see below), whose sum is σ = 2072971665072. Its totient is φ = 493367623680.

The previous prime is 1012100122051. The next prime is 1012100122123. The reversal of 1012100122112 is 2112210012101.

It is a super-2 number, since 2×1012100122112² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31954988 + ... + 31986644.

Almost surely, 2^{1012100122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036485832536).

1012100122112 is an abundant number, since it is smaller than the sum of its proper divisors (1060871542960).

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

1012100122112 is an equidigital number, since it uses as much as digits as its factorization.

1012100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33239 (or 33223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012100122112 its reverse (2112210012101), we get a palindrome (3124310134213).

The spelling of 1012100122112 in words is "one trillion, twelve billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".