100100202312001 has 16 divisors (see below), whose sum is σ = 101155134947328. Its totient is φ = 99050079819600.

The previous prime is 100100202311983. The next prime is 100100202312079. The reversal of 100100202312001 is 100213202001001.

It is a cyclic number.

It is not a de Polignac number, because 100100202312001 - 2⁹ = 100100202311489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100202312601) 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, 63712176 + ... + 65264398.

It is an arithmetic number, because the mean of its divisors is an integer number (6322195934208).

Almost surely, 2^{100100202312001} is an apocalyptic number.

It is an amenable number.

100100202312001 is a deficient number, since it is larger than the sum of its proper divisors (1054932635327).

100100202312001 is a wasteful number, since it uses less digits than its factorization.

100100202312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553772.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100100202312001 its reverse (100213202001001), we get a palindrome (200313404313002).

The spelling of 100100202312001 in words is "one hundred trillion, one hundred billion, two hundred two million, three hundred twelve thousand, one".