101001001011021 has 16 divisors (see below), whose sum is σ = 151312361068800. Its totient is φ = 66577438867104.

The previous prime is 101001001010969. The next prime is 101001001011023. The reversal of 101001001011021 is 120110100100101.

It is not a de Polignac number, because 101001001011021 - 2⁹ = 101001001010509 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101001001010994 and 101001001011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001011023) 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, 21015603301 + ... + 21015608106.

It is an arithmetic number, because the mean of its divisors is an integer number (9457022566800).

Almost surely, 2^{101001001011021} is an apocalyptic number.

It is an amenable number.

101001001011021 is a deficient number, since it is larger than the sum of its proper divisors (50311360057779).

101001001011021 is an equidigital number, since it uses as much as digits as its factorization.

101001001011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42031211505 (or 42031211499 counting only the distinct ones).

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

Adding to 101001001011021 its reverse (120110100100101), we get a palindrome (221111101111122).

The spelling of 101001001011021 in words is "one hundred one trillion, one billion, one million, eleven thousand, twenty-one".