100219912001 has 8 divisors (see below), whose sum is σ = 109333420704. Its totient is φ = 91106837920.

The previous prime is 100219911983. The next prime is 100219912007.

100219912001 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100219912001 is a prime.

It is a super-2 number, since 2×100219912001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100219912007) 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, 543941 + ... + 704493.

It is an arithmetic number, because the mean of its divisors is an integer number (13666677588).

Almost surely, 2^100219912001 is an apocalyptic number.

100219912001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100219912001 is a deficient number, since it is larger than the sum of its proper divisors (9113508703).

100219912001 is a wasteful number, since it uses less digits than its factorization.

100219912001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217311.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 100219912001 in words is "one hundred billion, two hundred nineteen million, nine hundred twelve thousand, one".