100100111121201 has 16 divisors (see below), whose sum is σ = 133700056941824. Its totient is φ = 66616789699584.

The previous prime is 100100111121193. The next prime is 100100111121209. The reversal of 100100111121201 is 102121111001001.

100100111121201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100100111121193) and next prime (100100111121209).

It is not a de Polignac number, because 100100111121201 - 2³ = 100100111121193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100111121209) 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, 131545320 + ... + 132304086.

It is an arithmetic number, because the mean of its divisors is an integer number (8356253558864).

Almost surely, 2^{100100111121201} is an apocalyptic number.

It is an amenable number.

100100111121201 is a deficient number, since it is larger than the sum of its proper divisors (33599945820623).

100100111121201 is an equidigital number, since it uses as much as digits as its factorization.

100100111121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835560.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100100111121201 its reverse (102121111001001), we get a palindrome (202221222122202).

The spelling of 100100111121201 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred twenty-one thousand, two hundred one".