100212111101 has 16 divisors (see below), whose sum is σ = 101108528640. Its totient is φ = 99320950080.

The previous prime is 100212111091. The next prime is 100212111187. The reversal of 100212111101 is 101111212001.

It is a cyclic number.

It is not a de Polignac number, because 100212111101 - 2³⁴ = 83032241917 is a prime.

It is a super-2 number, since 2×100212111101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212110101) 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, 78107006 + ... + 78108288.

It is an arithmetic number, because the mean of its divisors is an integer number (6319283040).

Almost surely, 2^100212111101 is an apocalyptic number.

It is an amenable number.

100212111101 is a deficient number, since it is larger than the sum of its proper divisors (896417539).

100212111101 is a wasteful number, since it uses less digits than its factorization.

100212111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100212111101 its reverse (101111212001), we get a palindrome (201323323102).

The spelling of 100212111101 in words is "one hundred billion, two hundred twelve million, one hundred eleven thousand, one hundred one".