100100211201 has 48 divisors (see below), whose sum is σ = 152824788480. Its totient is φ = 63052577280.

The previous prime is 100100211193. The next prime is 100100211217. The reversal of 100100211201 is 102112001001.

It is a happy number.

It is not a de Polignac number, because 100100211201 - 2³ = 100100211193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100100211271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088615 + ... + 2136003.

It is an arithmetic number, because the mean of its divisors is an integer number (3183849760).

Almost surely, 2^100100211201 is an apocalyptic number.

It is an amenable number.

100100211201 is a deficient number, since it is larger than the sum of its proper divisors (52724577279).

100100211201 is a wasteful number, since it uses less digits than its factorization.

100100211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47606 (or 47603 counting only the distinct ones).

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

Adding to 100100211201 its reverse (102112001001), we get a palindrome (202212212202).

The spelling of 100100211201 in words is "one hundred billion, one hundred million, two hundred eleven thousand, two hundred one".