100200221001 has 12 divisors (see below), whose sum is σ = 145011459060. Its totient is φ = 66671928960.

The previous prime is 100200220987. The next prime is 100200221021. The reversal of 100200221001 is 100122002001.

It can be written as a sum of positive squares in 2 ways, for example, as 62438015376 + 37762205625 = 249876^2 + 194325^2 .

It is not a de Polignac number, because 100200221001 - 2⁵ = 100200220969 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 (100200221021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10679916 + ... + 10689293.

It is an arithmetic number, because the mean of its divisors is an integer number (12084288255).

Almost surely, 2^100200221001 is an apocalyptic number.

It is an amenable number.

100200221001 is a deficient number, since it is larger than the sum of its proper divisors (44811238059).

100200221001 is a wasteful number, since it uses less digits than its factorization.

100200221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21369736 (or 21369733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200221001 its reverse (100122002001), we get a palindrome (200322223002).

It can be divided in two parts, 100200 and 221001, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 100200221001 in words is "one hundred billion, two hundred million, two hundred twenty-one thousand, one".