100212122101 has 48 divisors (see below), whose sum is σ = 131111374464. Its totient is φ = 75776190336.

The previous prime is 100212122083. The next prime is 100212122137. The reversal of 100212122101 is 101221212001.

It is a de Polignac number, because none of the positive numbers 2^k-100212122101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212122191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23395506 + ... + 23399788.

It is an arithmetic number, because the mean of its divisors is an integer number (2731486968).

Almost surely, 2^100212122101 is an apocalyptic number.

It is an amenable number.

100212122101 is a deficient number, since it is larger than the sum of its proper divisors (30899252363).

100212122101 is a wasteful number, since it uses less digits than its factorization.

100212122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212122101 its reverse (101221212001), we get a palindrome (201433334102).

The spelling of 100212122101 in words is "one hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".