100021101120001 has 32 divisors (see below), whose sum is σ = 103899861734400. Its totient is φ = 96236278133760.

The previous prime is 100021101119977. The next prime is 100021101120037.

100021101120001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100021101120001 - 2³⁷ = 99883662166529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100021101120001.

It is not an unprimeable number, because it can be changed into a prime (100021101190001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716452496 + ... + 1716510766.

It is an arithmetic number, because the mean of its divisors is an integer number (3246870679200).

Almost surely, 2^{100021101120001} is an apocalyptic number.

It is an amenable number.

100021101120001 is a deficient number, since it is larger than the sum of its proper divisors (3878760614399).

100021101120001 is a wasteful number, since it uses less digits than its factorization.

100021101120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61449.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 10002110 and 1120001, that added together give a palindrome (11122111).

The spelling of 100021101120001 in words is "one hundred trillion, twenty-one billion, one hundred one million, one hundred twenty thousand, one".