100200002001 has 8 divisors (see below), whose sum is σ = 145745457504. Its totient is φ = 60727273920.

The previous prime is 100200001931. The next prime is 100200002003.

It is a happy number.

100200002001 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 100200002001 - 2¹⁷ = 100199870929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100200002003) 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, 1518181816 + ... + 1518181881.

It is an arithmetic number, because the mean of its divisors is an integer number (18218182188).

Almost surely, 2^100200002001 is an apocalyptic number.

100200002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200002001 is a deficient number, since it is larger than the sum of its proper divisors (45545455503).

100200002001 is a wasteful number, since it uses less digits than its factorization.

100200002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036363711.

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 10020000 and 2001, that added together give a palindrome (10022001).

The spelling of 100200002001 in words is "one hundred billion, two hundred million, two thousand, one".