100202012112001 has 16 divisors (see below), whose sum is σ = 102864151051200. Its totient is φ = 97572508383168.

The previous prime is 100202012111987. The next prime is 100202012112019. The reversal of 100202012112001 is 100211210202001.

It is a cyclic number.

It is not a de Polignac number, because 100202012112001 - 2¹⁷ = 100202011980929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202012110001) 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, 20684866 + ... + 25065268.

It is an arithmetic number, because the mean of its divisors is an integer number (6429009440700).

Almost surely, 2^{100202012112001} is an apocalyptic number.

It is an amenable number.

100202012112001 is a deficient number, since it is larger than the sum of its proper divisors (2662138939199).

100202012112001 is a wasteful number, since it uses less digits than its factorization.

100202012112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384128.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202012112001 its reverse (100211210202001), we get a palindrome (200413222314002).

The spelling of 100202012112001 in words is "one hundred trillion, two hundred two billion, twelve million, one hundred twelve thousand, one".