100212210101 has 16 divisors (see below), whose sum is σ = 104342287104. Its totient is φ = 96167757504.

The previous prime is 100212210089. The next prime is 100212210179. The reversal of 100212210101 is 101012212001.

It is a cyclic number.

It is not a de Polignac number, because 100212210101 - 2¹⁰ = 100212209077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212218101) 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, 4140431 + ... + 4164563.

It is an arithmetic number, because the mean of its divisors is an integer number (6521392944).

Almost surely, 2^100212210101 is an apocalyptic number.

It is an amenable number.

100212210101 is a deficient number, since it is larger than the sum of its proper divisors (4130077003).

100212210101 is a wasteful number, since it uses less digits than its factorization.

100212210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25900.

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

Adding to 100212210101 its reverse (101012212001), we get a palindrome (201224422102).

The spelling of 100212210101 in words is "one hundred billion, two hundred twelve million, two hundred ten thousand, one hundred one".