100201102001 has 72 divisors (see below), whose sum is σ = 138843786528. Its totient is φ = 72064792800.

The previous prime is 100201101983. The next prime is 100201102049.

100201102001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100201102001 - 2¹⁴ = 100201085617 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 100201102001.

It is not an unprimeable number, because it can be changed into a prime (100201102051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11017466 + ... + 11026556.

It is an arithmetic number, because the mean of its divisors is an integer number (1928385924).

Almost surely, 2^100201102001 is an apocalyptic number.

100201102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201102001 is a deficient number, since it is larger than the sum of its proper divisors (38642684527).

100201102001 is an equidigital number, since it uses as much as digits as its factorization.

100201102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9122 counting only the distinct ones).

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

It can be divided in two parts, 100201 and 102001, that multiplied together give a palindrome (10220602201).

The spelling of 100201102001 in words is "one hundred billion, two hundred one million, one hundred two thousand, one".