100202021001 has 64 divisors (see below), whose sum is σ = 159750144000. Its totient is φ = 61883559360.

The previous prime is 100202020969. The next prime is 100202021057. The reversal of 100202021001 is 100120202001.

It is not a de Polignac number, because 100202021001 - 2⁵ = 100202020969 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 (100202021081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5772331 + ... + 5789663.

It is an arithmetic number, because the mean of its divisors is an integer number (2496096000).

Almost surely, 2^100202021001 is an apocalyptic number.

It is an amenable number.

100202021001 is a deficient number, since it is larger than the sum of its proper divisors (59548122999).

100202021001 is a wasteful number, since it uses less digits than its factorization.

100202021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17611 (or 17605 counting only the distinct ones).

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

Adding to 100202021001 its reverse (100120202001), we get a palindrome (200322223002).

The spelling of 100202021001 in words is "one hundred billion, two hundred two million, twenty-one thousand, one".