101221331122021 has 8 divisors (see below), whose sum is σ = 110441435097600. Its totient is φ = 92004254610240.

The previous prime is 101221331122013. The next prime is 101221331122027. The reversal of 101221331122021 is 120221133122101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101221331122021 - 2³ = 101221331122013 is a prime.

It is a super-2 number, since 2×101221331122021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221331121983 and 101221331122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221331122027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756796036 + ... + 756929773.

It is an arithmetic number, because the mean of its divisors is an integer number (13805179387200).

Almost surely, 2^{101221331122021} is an apocalyptic number.

101221331122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221331122021 is a deficient number, since it is larger than the sum of its proper divisors (9220103975579).

101221331122021 is a wasteful number, since it uses less digits than its factorization.

101221331122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513731899.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101221331122021 its reverse (120221133122101), we get a palindrome (221442464244122).

The spelling of 101221331122021 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, twenty-one".