100021120001 has 8 divisors (see below), whose sum is σ = 110339949600. Its totient is φ = 89906623840.

The previous prime is 100021119959. The next prime is 100021120051.

100021120001 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 100021120001 - 2¹⁸ = 100020857857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100021120051) 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, 51082331 + ... + 51084288.

It is an arithmetic number, because the mean of its divisors is an integer number (13792493700).

Almost surely, 2^100021120001 is an apocalyptic number.

100021120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021120001 is a deficient number, since it is larger than the sum of its proper divisors (10318829599).

100021120001 is a wasteful number, since it uses less digits than its factorization.

100021120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102166719.

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

It can be divided in two parts, 100021 and 120001, that multiplied together give a palindrome (12002620021).

The spelling of 100021120001 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, one".