10120002221112 has 512 divisors, whose sum is σ = 31773347020800. Its totient is φ = 2621050099200.

The previous prime is 10120002221057. The next prime is 10120002221123. The reversal of 10120002221112 is 21112220002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120002221091 and 10120002221100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3979551313 + ... + 3979553855.

It is an arithmetic number, because the mean of its divisors is an integer number (62057318400).

Almost surely, 2^{10120002221112} is an apocalyptic number.

10120002221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120002221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886673510400).

10120002221112 is an abundant number, since it is smaller than the sum of its proper divisors (21653344799688).

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

10120002221112 is a wasteful number, since it uses less digits than its factorization.

10120002221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120002221112 its reverse (21112220002101), we get a palindrome (31232222223213).

The spelling of 10120002221112 in words is "ten trillion, one hundred twenty billion, two million, two hundred twenty-one thousand, one hundred twelve".