10121220012112 has 80 divisors (see below), whose sum is σ = 22036996238400. Its totient is φ = 4463406259200.

The previous prime is 10121220012091. The next prime is 10121220012133. The reversal of 10121220012112 is 21121002212101.

It is an interprime number because it is at equal distance from previous prime (10121220012091) and next prime (10121220012133).

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3360189 + ... + 5615452.

It is an arithmetic number, because the mean of its divisors is an integer number (275462452980).

Almost surely, 2^{10121220012112} is an apocalyptic number.

It is an amenable number.

10121220012112 is an abundant number, since it is smaller than the sum of its proper divisors (11915776226288).

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

10121220012112 is a wasteful number, since it uses less digits than its factorization.

10121220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975852 (or 8975846 counting only the distinct ones).

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

Adding to 10121220012112 its reverse (21121002212101), we get a palindrome (31242222224213).

The spelling of 10121220012112 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, twelve thousand, one hundred twelve".