100101021011001 has 12 divisors (see below), whose sum is σ = 144755232979812. Its totient is φ = 66657920485536.

The previous prime is 100101021010967. The next prime is 100101021011011. The reversal of 100101021011001 is 100110120101001.

It can be written as a sum of positive squares in 2 ways, for example, as 93704800655376 + 6396220355625 = 9680124^2 + 2529075^2 .

It is not a de Polignac number, because 100101021011001 - 2⁶ = 100101021010937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100101021011011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6341118486 + ... + 6341134271.

It is an arithmetic number, because the mean of its divisors is an integer number (12062936081651).

Almost surely, 2^{100101021011001} is an apocalyptic number.

It is an amenable number.

100101021011001 is a deficient number, since it is larger than the sum of its proper divisors (44654211968811).

100101021011001 is a wasteful number, since it uses less digits than its factorization.

100101021011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682253640 (or 12682253637 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101021011001 its reverse (100110120101001), we get a palindrome (200211141112002).

The spelling of 100101021011001 in words is "one hundred trillion, one hundred one billion, twenty-one million, eleven thousand, one".