100111012210001 has 16 divisors (see below), whose sum is σ = 110111576601600. Its totient is φ = 90439187717568.

The previous prime is 100111012209931. The next prime is 100111012210007. The reversal of 100111012210001 is 100012210111001.

It is not a de Polignac number, because 100111012210001 - 2¹⁴ = 100111012193617 is a prime.

It is a super-2 number, since 2×100111012210001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100111012210007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7187240 + ... + 15870678.

It is an arithmetic number, because the mean of its divisors is an integer number (6881973537600).

Almost surely, 2^{100111012210001} is an apocalyptic number.

It is an amenable number.

100111012210001 is a deficient number, since it is larger than the sum of its proper divisors (10000564391599).

100111012210001 is a wasteful number, since it uses less digits than its factorization.

100111012210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702368.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111012210001 its reverse (100012210111001), we get a palindrome (200123222321002).

The spelling of 100111012210001 in words is "one hundred trillion, one hundred eleven billion, twelve million, two hundred ten thousand, one".