100112122201011 has 16 divisors (see below), whose sum is σ = 136329755395584. Its totient is φ = 65318094936864.

The previous prime is 100112122201001. The next prime is 100112122201031. The reversal of 100112122201011 is 110102221211001.

It is a happy number.

It is not a de Polignac number, because 100112122201011 - 2⁶ = 100112122200947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112122201001) 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, 15067960 + ... + 20670453.

It is an arithmetic number, because the mean of its divisors is an integer number (8520609712224).

Almost surely, 2^{100112122201011} is an apocalyptic number.

100112122201011 is a deficient number, since it is larger than the sum of its proper divisors (36217633194573).

100112122201011 is a wasteful number, since it uses less digits than its factorization.

100112122201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35758330.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112122201011 its reverse (110102221211001), we get a palindrome (210214343412012).

The spelling of 100112122201011 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, two hundred one thousand, eleven".