100100102001 has 16 divisors (see below), whose sum is σ = 134208627840. Its totient is φ = 66363436160.

The previous prime is 100100101967. The next prime is 100100102009. The reversal of 100100102001 is 100201001001.

It is a cyclic number.

It is not a de Polignac number, because 100100102001 - 2⁹ = 100100101489 is a prime.

It is a super-2 number, since 2×100100102001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100100102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305995 + ... + 542063.

It is an arithmetic number, because the mean of its divisors is an integer number (8388039240).

Almost surely, 2^100100102001 is an apocalyptic number.

It is an amenable number.

100100102001 is a deficient number, since it is larger than the sum of its proper divisors (34108525839).

100100102001 is a wasteful number, since it uses less digits than its factorization.

100100102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236856.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100102001 its reverse (100201001001), we get a palindrome (200301103002).

The spelling of 100100102001 in words is "one hundred billion, one hundred million, one hundred two thousand, one".