100112202100001 has 16 divisors (see below), whose sum is σ = 123853437773184. Its totient is φ = 78799241677824.

The previous prime is 100112202099941. The next prime is 100112202100051. The reversal of 100112202100001 is 100001202211001.

It is a cyclic number.

It is not a de Polignac number, because 100112202100001 - 2¹⁰ = 100112202098977 is a prime.

It is a super-2 number, since 2×100112202100001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112202100051) 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, 2850070751 + ... + 2850105876.

It is an arithmetic number, because the mean of its divisors is an integer number (7740839860824).

Almost surely, 2^{100112202100001} is an apocalyptic number.

It is an amenable number.

100112202100001 is a deficient number, since it is larger than the sum of its proper divisors (23741235673183).

100112202100001 is a wasteful number, since it uses less digits than its factorization.

100112202100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700176840.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112202100001 its reverse (100001202211001), we get a palindrome (200113404311002).

The spelling of 100112202100001 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, one hundred thousand, one".