10100001100112 has 120 divisors (see below), whose sum is σ = 24698744554176. Its totient is φ = 3916414656000.

The previous prime is 10100001100097. The next prime is 10100001100121. The reversal of 10100001100112 is 21100110000101.

It is a happy number.

10100001100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100001100112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100001100112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093412 + ... + 4625532.

Almost surely, 2^{10100001100112} 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 10100001100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349372277088).

10100001100112 is an abundant number, since it is smaller than the sum of its proper divisors (14598743454064).

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

10100001100112 is a wasteful number, since it uses less digits than its factorization.

10100001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532369 (or 3532352 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100001100112 its reverse (21100110000101), we get a palindrome (31200111100213).

It can be divided in two parts, 1010000 and 1100112, that added together give a palindrome (2110112).

The spelling of 10100001100112 in words is "ten trillion, one hundred billion, one million, one hundred thousand, one hundred twelve".