100212221102113 has 32 divisors (see below), whose sum is σ = 106106267543040. Its totient is φ = 94381751992320.

The previous prime is 100212221102111. The next prime is 100212221102117. The reversal of 100212221102113 is 311201122212001.

It is a cyclic number.

It is not a de Polignac number, because 100212221102113 - 2¹ = 100212221102111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212221102111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7877693593 + ... + 7877706313.

It is an arithmetic number, because the mean of its divisors is an integer number (3315820860720).

Almost surely, 2^{100212221102113} is an apocalyptic number.

It is an amenable number.

100212221102113 is a deficient number, since it is larger than the sum of its proper divisors (5894046440927).

100212221102113 is a wasteful number, since it uses less digits than its factorization.

100212221102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16057.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100212221102113 its reverse (311201122212001), we get a palindrome (411413343314114).

The spelling of 100212221102113 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred thirteen".