100120202021001 has 16 divisors (see below), whose sum is σ = 137942651657024. Its totient is φ = 64544411438784.

The previous prime is 100120202020999. The next prime is 100120202021011.

100120202021001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100120202021001 - 2¹ = 100120202020999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120202021011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766803386 + ... + 2766839571.

It is an arithmetic number, because the mean of its divisors is an integer number (8621415728564).

Almost surely, 2^{100120202021001} is an apocalyptic number.

It is an amenable number.

100120202021001 is a deficient number, since it is larger than the sum of its proper divisors (37822449636023).

100120202021001 is a wasteful number, since it uses less digits than its factorization.

100120202021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533643160.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 10012020 and 2021001, that added together give a palindrome (12033021).

The spelling of 100120202021001 in words is "one hundred trillion, one hundred twenty billion, two hundred two million, twenty-one thousand, one".