100101001404021 has 16 divisors (see below), whose sum is σ = 133547787775488. Its totient is φ = 66694109929200.

The previous prime is 100101001403971. The next prime is 100101001404077. The reversal of 100101001404021 is 120404100101001.

It is not a de Polignac number, because 100101001404021 - 2²⁶ = 100100934295157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101001404091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226667536 + ... + 227108726.

It is an arithmetic number, because the mean of its divisors is an integer number (8346736735968).

Almost surely, 2^{100101001404021} is an apocalyptic number.

It is an amenable number.

100101001404021 is a deficient number, since it is larger than the sum of its proper divisors (33446786371467).

100101001404021 is a wasteful number, since it uses less digits than its factorization.

100101001404021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486232.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100101001404021 its reverse (120404100101001), we get a palindrome (220505101505022).

The spelling of 100101001404021 in words is "one hundred trillion, one hundred one billion, one million, four hundred four thousand, twenty-one".