100000201021 has 24 divisors (see below), whose sum is σ = 121681794240. Its totient is φ = 81786906432.

The previous prime is 100000201009. The next prime is 100000201031. The reversal of 100000201021 is 120102000001.

It is not a de Polignac number, because 100000201021 - 2⁷ = 100000200893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000200995 and 100000201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000201031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352470 + ... + 569416.

It is an arithmetic number, because the mean of its divisors is an integer number (5070074760).

Almost surely, 2^100000201021 is an apocalyptic number.

It is an amenable number.

100000201021 is a deficient number, since it is larger than the sum of its proper divisors (21681593219).

100000201021 is a wasteful number, since it uses less digits than its factorization.

100000201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217393 (or 217386 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100000201021 its reverse (120102000001), we get a palindrome (220102201022).

The spelling of 100000201021 in words is "one hundred billion, two hundred one thousand, twenty-one".