100211012210113 has 8 divisors (see below), whose sum is σ = 114626200569728. Its totient is φ = 85820656218624.

The previous prime is 100211012210083. The next prime is 100211012210213. The reversal of 100211012210113 is 311012210112001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100211012210113 - 2⁵ = 100211012210081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211012210213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6208083381 + ... + 6208099522.

It is an arithmetic number, because the mean of its divisors is an integer number (14328275071216).

Almost surely, 2^{100211012210113} is an apocalyptic number.

It is an amenable number.

100211012210113 is a deficient number, since it is larger than the sum of its proper divisors (14415188359615).

100211012210113 is a wasteful number, since it uses less digits than its factorization.

100211012210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416184063.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100211012210113 its reverse (311012210112001), we get a palindrome (411223222322114).

The spelling of 100211012210113 in words is "one hundred trillion, two hundred eleven billion, twelve million, two hundred ten thousand, one hundred thirteen".