100100012100011 has 32 divisors (see below), whose sum is σ = 132144229025280. Its totient is φ = 73410086592000.

The previous prime is 100100012100007. The next prime is 100100012100071. The reversal of 100100012100011 is 110001210001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100012100011 - 2² = 100100012100007 is a prime.

It is a super-2 number, since 2×100100012100011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100012100071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57591845 + ... + 59304473.

It is an arithmetic number, because the mean of its divisors is an integer number (4129507157040).

Almost surely, 2^{100100012100011} is an apocalyptic number.

100100012100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100012100011 is a deficient number, since it is larger than the sum of its proper divisors (32044216925269).

100100012100011 is a wasteful number, since it uses less digits than its factorization.

100100012100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757315.

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

Adding to 100100012100011 its reverse (110001210001001), we get a palindrome (210101222101012).

The spelling of 100100012100011 in words is "one hundred trillion, one hundred billion, twelve million, one hundred thousand, eleven".