100010010001 has 16 divisors (see below), whose sum is σ = 111403770048. Its totient is φ = 89018092800.

The previous prime is 100010009993. The next prime is 100010010031.

100010010001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100010010001 - 2³ = 100010009993 is a prime.

100010010001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010010031) 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, 344535 + ... + 564556.

It is an arithmetic number, because the mean of its divisors is an integer number (6962735628).

Almost surely, 2^100010010001 is an apocalyptic number.

100010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010010001 is a deficient number, since it is larger than the sum of its proper divisors (11393760047).

100010010001 is a wasteful number, since it uses less digits than its factorization.

100010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909312.

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 1000100 and 10001, that multiplied together give a square (10002000100 = 100010²).

The spelling of 100010010001 in words is "one hundred billion, ten million, ten thousand, one".