100111102012201 has 4 divisors (see below), whose sum is σ = 114412688013952. Its totient is φ = 85809516010452.

The previous prime is 100111102012189. The next prime is 100111102012213. The reversal of 100111102012201 is 102210201111001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (100111102012189) and next prime (100111102012213).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111102012201 is a prime.

It is a super-2 number, since 2×100111102012201² (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 (100111102012001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7150793000865 + ... + 7150793000878.

It is an arithmetic number, because the mean of its divisors is an integer number (28603172003488).

Almost surely, 2^{100111102012201} is an apocalyptic number.

It is an amenable number.

100111102012201 is a deficient number, since it is larger than the sum of its proper divisors (14301586001751).

100111102012201 is an equidigital number, since it uses as much as digits as its factorization.

100111102012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301586001750.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111102012201 its reverse (102210201111001), we get a palindrome (202321303123202).

The spelling of 100111102012201 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, twelve thousand, two hundred one".