10100112112201 has 4 divisors (see below), whose sum is σ = 10100234485504. Its totient is φ = 10099989738900.

The previous prime is 10100112112187. The next prime is 10100112112229. The reversal of 10100112112201 is 10221121100101.

It is a happy number.

10100112112201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a cyclic number.

It is not a de Polignac number, because 10100112112201 - 2²⁷ = 10099977894473 is a prime.

It is a super-3 number, since 3×10100112112201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100112112231) 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, 61062765 + ... + 61227946.

It is an arithmetic number, because the mean of its divisors is an integer number (2525058621376).

Almost surely, 2^{10100112112201} is an apocalyptic number.

It is an amenable number.

10100112112201 is a deficient number, since it is larger than the sum of its proper divisors (122373303).

10100112112201 is an equidigital number, since it uses as much as digits as its factorization.

10100112112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122373302.

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

Adding to 10100112112201 its reverse (10221121100101), we get a palindrome (20321233212302).

The spelling of 10100112112201 in words is "ten trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, two hundred one".