100112202011001 has 16 divisors (see below), whose sum is σ = 134926765966080. Its totient is φ = 66020751235200.

The previous prime is 100112202010987. The next prime is 100112202011011. The reversal of 100112202011001 is 100110202211001.

It is not a de Polignac number, because 100112202011001 - 2¹³ = 100112202002809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112202011011) 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, 149440636 + ... + 150109053.

It is an arithmetic number, because the mean of its divisors is an integer number (8432922872880).

Almost surely, 2^{100112202011001} is an apocalyptic number.

It is an amenable number.

100112202011001 is a deficient number, since it is larger than the sum of its proper divisors (34814563955079).

100112202011001 is a wasteful number, since it uses less digits than its factorization.

100112202011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299550896.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112202011001 its reverse (100110202211001), we get a palindrome (200222404222002).

The spelling of 100112202011001 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, eleven thousand, one".