100210012001 has 8 divisors (see below), whose sum is σ = 109506255264. Its totient is φ = 90944809120.

The previous prime is 100210011959. The next prime is 100210012009.

100210012001 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2^k-100210012001 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 100210012001.

It is not an unprimeable number, because it can be changed into a prime (100210012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7753340 + ... + 7766253.

It is an arithmetic number, because the mean of its divisors is an integer number (13688281908).

Almost surely, 2^100210012001 is an apocalyptic number.

100210012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210012001 is a deficient number, since it is larger than the sum of its proper divisors (9296243263).

100210012001 is a wasteful number, since it uses less digits than its factorization.

100210012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520191.

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

It can be divided in two parts, 1002100 and 12001, that added together give a palindrome (1014101).

The spelling of 100210012001 in words is "one hundred billion, two hundred ten million, twelve thousand, one".