101021011021 has 16 divisors (see below), whose sum is σ = 126187269120. Its totient is φ = 78867037440.

The previous prime is 101021010989. The next prime is 101021011027. The reversal of 101021011021 is 120110120101.

It is a cyclic number.

It is not a de Polignac number, because 101021011021 - 2⁵ = 101021010989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021010989 and 101021011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13688506 + ... + 13695883.

It is an arithmetic number, because the mean of its divisors is an integer number (7886704320).

Almost surely, 2^101021011021 is an apocalyptic number.

It is an amenable number.

101021011021 is a deficient number, since it is larger than the sum of its proper divisors (25166258099).

101021011021 is a wasteful number, since it uses less digits than its factorization.

101021011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27384444.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021011021 its reverse (120110120101), we get a palindrome (221131131122).

The spelling of 101021011021 in words is "one hundred one billion, twenty-one million, eleven thousand, twenty-one".