10010002100112 has 480 divisors, whose sum is σ = 33716306018304. Its totient is φ = 2712319948800.

The previous prime is 10010002100107. The next prime is 10010002100123. The reversal of 10010002100112 is 21100120001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010002100094 and 10010002100103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370494028 + ... + 370521044.

Almost surely, 2^{10010002100112} is an apocalyptic number.

10010002100112 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 10010002100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16858153009152).

10010002100112 is an abundant number, since it is smaller than the sum of its proper divisors (23706303918192).

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

10010002100112 is a wasteful number, since it uses less digits than its factorization.

10010002100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27307 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010002100112 its reverse (21100120001001), we get a palindrome (31110122101113).

The spelling of 10010002100112 in words is "ten trillion, ten billion, two million, one hundred thousand, one hundred twelve".