100211002101 has 48 divisors (see below), whose sum is σ = 170837941248. Its totient is φ = 55392249600.

The previous prime is 100211002081. The next prime is 100211002109. The reversal of 100211002101 is 101200112001.

It is a happy number.

It is not a de Polignac number, because 100211002101 - 2⁶ = 100211002037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5109025 + ... + 5128601.

It is an arithmetic number, because the mean of its divisors is an integer number (3559123776).

Almost surely, 2^100211002101 is an apocalyptic number.

It is an amenable number.

100211002101 is a deficient number, since it is larger than the sum of its proper divisors (70626939147).

100211002101 is a wasteful number, since it uses less digits than its factorization.

100211002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22242 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100211002101 its reverse (101200112001), we get a palindrome (201411114102).

The spelling of 100211002101 in words is "one hundred billion, two hundred eleven million, two thousand, one hundred one".