101221011021 has 32 divisors (see below), whose sum is σ = 146222052480. Its totient is φ = 61913677824.

The previous prime is 101221011013. The next prime is 101221011077. The reversal of 101221011021 is 120110122101.

It is not a de Polignac number, because 101221011021 - 2³ = 101221011013 is a prime.

It is a super-2 number, since 2×101221011021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221010988 and 101221011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221011421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9832645 + ... + 9842933.

It is an arithmetic number, because the mean of its divisors is an integer number (4569439140).

Almost surely, 2^101221011021 is an apocalyptic number.

It is an amenable number.

101221011021 is a deficient number, since it is larger than the sum of its proper divisors (45001041459).

101221011021 is a wasteful number, since it uses less digits than its factorization.

101221011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221011021 its reverse (120110122101), we get a palindrome (221331133122).

The spelling of 101221011021 in words is "one hundred one billion, two hundred twenty-one million, eleven thousand, twenty-one".