100100002001021 has 8 divisors (see below), whose sum is σ = 110990166153888. Its totient is φ = 89508198510000.

The previous prime is 100100002000931. The next prime is 100100002001033. The reversal of 100100002001021 is 120100200001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100002001021 - 2³⁴ = 100082822131837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100002003021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74590164755 + ... + 74590166096.

It is an arithmetic number, because the mean of its divisors is an integer number (13873770769236).

Almost surely, 2^{100100002001021} is an apocalyptic number.

100100002001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100002001021 is a deficient number, since it is larger than the sum of its proper divisors (10890164152867).

100100002001021 is a wasteful number, since it uses less digits than its factorization.

100100002001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149180330923.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100002001021 its reverse (120100200001001), we get a palindrome (220200202002022).

It can be divided in two parts, 10010000 and 2001021, that added together give a palindrome (12011021).

The spelling of 100100002001021 in words is "one hundred trillion, one hundred billion, two million, one thousand, twenty-one".