100111010011002 has 48 divisors (see below), whose sum is σ = 226377979521408. Its totient is φ = 31913805258720.

The previous prime is 100111010010961. The next prime is 100111010011141. The reversal of 100111010011002 is 200110010111001.

100111010011002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100111010011002² (a number of 29 digits) contains 22 as substring.

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

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, 19047774 + ... + 23728457.

It is an arithmetic number, because the mean of its divisors is an integer number (4716207906696).

Almost surely, 2^{100111010011002} is an apocalyptic number.

100111010011002 is an abundant number, since it is smaller than the sum of its proper divisors (126266969510406).

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

100111010011002 is a wasteful number, since it uses less digits than its factorization.

100111010011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42781915 (or 42781912 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111010011002 its reverse (200110010111001), we get a palindrome (300221020122003).

Subtracting 100111010011002 from its reverse (200110010111001), we obtain a palindrome (99999000099999).

The spelling of 100111010011002 in words is "one hundred trillion, one hundred eleven billion, ten million, eleven thousand, two".