100211001021 has 12 divisors (see below), whose sum is σ = 148661365372. Its totient is φ = 65001730176.

The previous prime is 100211001019. The next prime is 100211001043. The reversal of 100211001021 is 120100112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90387416025 + 9823584996 = 300645^2 + 99114^2 .

It is not a de Polignac number, because 100211001021 - 2¹ = 100211001019 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100211000994 and 100211001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211001421) 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 11 ways as a sum of consecutive naturals, for example, 150466636 + ... + 150467301.

Almost surely, 2^100211001021 is an apocalyptic number.

It is an amenable number.

100211001021 is a deficient number, since it is larger than the sum of its proper divisors (48450364351).

100211001021 is a wasteful number, since it uses less digits than its factorization.

100211001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300933980 (or 300933977 counting only the distinct ones).

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

Adding to 100211001021 its reverse (120100112001), we get a palindrome (220311113022).

The spelling of 100211001021 in words is "one hundred billion, two hundred eleven million, one thousand, twenty-one".