10100102112112 has 60 divisors (see below), whose sum is σ = 20223710677800. Its totient is φ = 4886386477440.

The previous prime is 10100102112071. The next prime is 10100102112161. The reversal of 10100102112112 is 21121120100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100102112092 and 10100102112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106031418 + ... + 106126630.

It is an arithmetic number, because the mean of its divisors is an integer number (337061844630).

Almost surely, 2^{10100102112112} 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 10100102112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111855338900).

10100102112112 is an abundant number, since it is smaller than the sum of its proper divisors (10123608565688).

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

10100102112112 is an equidigital number, since it uses as much as digits as its factorization.

10100102112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102182 (or 102145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100102112112 its reverse (21121120100101), we get a palindrome (31221222212213).

The spelling of 10100102112112 in words is "ten trillion, one hundred billion, one hundred two million, one hundred twelve thousand, one hundred twelve".