100010010011001 has 64 divisors (see below), whose sum is σ = 144225057005568. Its totient is φ = 61416298856448.

The previous prime is 100010010010993. The next prime is 100010010011059. The reversal of 100010010011001 is 100110010010001.

It is not a de Polignac number, because 100010010011001 - 2³ = 100010010010993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010010011081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1370470551 + ... + 1370543523.

It is an arithmetic number, because the mean of its divisors is an integer number (2253516515712).

Almost surely, 2^{100010010011001} is an apocalyptic number.

It is an amenable number.

100010010011001 is a deficient number, since it is larger than the sum of its proper divisors (44215046994567).

100010010011001 is a wasteful number, since it uses less digits than its factorization.

100010010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75890.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010010011001 its reverse (100110010010001), we get a palindrome (200120020021002).

The spelling of 100010010011001 in words is "one hundred trillion, ten billion, ten million, eleven thousand, one".