100211021001 has 192 divisors, whose sum is σ = 189683859456. Its totient is φ = 49576665600.

The previous prime is 100211020981. The next prime is 100211021033. The reversal of 100211021001 is 100120112001.

It is a happy number.

It is not a de Polignac number, because 100211021001 - 2⁷ = 100211020873 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 (100211021041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101120616 + ... + 101121606.

It is an arithmetic number, because the mean of its divisors is an integer number (987936768).

Almost surely, 2^100211021001 is an apocalyptic number.

It is an amenable number.

100211021001 is a deficient number, since it is larger than the sum of its proper divisors (89472838455).

100211021001 is a wasteful number, since it uses less digits than its factorization.

100211021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1169 counting only the distinct ones).

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

Adding to 100211021001 its reverse (100120112001), we get a palindrome (200331133002).

The spelling of 100211021001 in words is "one hundred billion, two hundred eleven million, twenty-one thousand, one".