100010011000010 has 32 divisors (see below), whose sum is σ = 190626569610192. Its totient is φ = 37647024307200.

The previous prime is 100010010999967. The next prime is 100010011000073. The reversal of 100010011000010 is 10000110010001.

100010011000010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 67635014850601 + 32374996149409 = 8224051^2 + 5689903^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100010010999958 and 100010011000003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28025657 + ... + 31391996.

Almost surely, 2^{100010011000010} is an apocalyptic number.

100010011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010011000010 is a deficient number, since it is larger than the sum of its proper divisors (90616558610182).

100010011000010 is a wasteful number, since it uses less digits than its factorization.

100010011000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59427578.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010011000010 its reverse (10000110010001), we get a palindrome (110010121010011).

Subtracting from 100010011000010 its reverse (10000110010001), we obtain a palindrome (90009900990009).

The spelling of 100010011000010 in words is "one hundred trillion, ten billion, eleven million, ten", and thus it is an aban number.