100211100021 has 32 divisors (see below), whose sum is σ = 148781214720. Its totient is φ = 66663438912.

The previous prime is 100211099993. The next prime is 100211100049. The reversal of 100211100021 is 120001112001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100211099993) and next prime (100211100049).

It is not a de Polignac number, because 100211100021 - 2²¹ = 100209002869 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100211099976 and 100211100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37210351 + ... + 37213043.

It is an arithmetic number, because the mean of its divisors is an integer number (4649412960).

Almost surely, 2^100211100021 is an apocalyptic number.

It is an amenable number.

100211100021 is a deficient number, since it is larger than the sum of its proper divisors (48570114699).

100211100021 is a wasteful number, since it uses less digits than its factorization.

100211100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5156 counting only the distinct ones).

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

Adding to 100211100021 its reverse (120001112001), we get a palindrome (220212212022).

The spelling of 100211100021 in words is "one hundred billion, two hundred eleven million, one hundred thousand, twenty-one".