10102200101112 has 64 divisors (see below), whose sum is σ = 28871586374400. Its totient is φ = 2885527134720.

The previous prime is 10102200101089. The next prime is 10102200101167. The reversal of 10102200101112 is 21110100220101.

It is a super-3 number, since 3×10102200101112³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7901089 + ... + 9090192.

It is an arithmetic number, because the mean of its divisors is an integer number (451118537100).

Almost surely, 2^{10102200101112} is an apocalyptic number.

10102200101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102200101112 is an abundant number, since it is smaller than the sum of its proper divisors (18769386273288).

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

10102200101112 is a wasteful number, since it uses less digits than its factorization.

10102200101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994836 (or 16994832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102200101112 its reverse (21110100220101), we get a palindrome (31212300321213).

The spelling of 10102200101112 in words is "ten trillion, one hundred two billion, two hundred million, one hundred one thousand, one hundred twelve".