101322133100021 has 8 divisors (see below), whose sum is σ = 101344426252800. Its totient is φ = 101299841809920.

The previous prime is 101322133099987. The next prime is 101322133100057. The reversal of 101322133100021 is 120001331223101.

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 101322133100021 - 2¹⁴ = 101322133083637 is a prime.

It is a super-2 number, since 2×101322133100021² (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 = 101322133099966 and 101322133100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322133100621) 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, 111272501 + ... + 112179381.

It is an arithmetic number, because the mean of its divisors is an integer number (12668053281600).

Almost surely, 2^{101322133100021} is an apocalyptic number.

It is an amenable number.

101322133100021 is a deficient number, since it is larger than the sum of its proper divisors (22293152779).

101322133100021 is an equidigital number, since it uses as much as digits as its factorization.

101322133100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931339.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101322133100021 its reverse (120001331223101), we get a palindrome (221323464323122).

The spelling of 101322133100021 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred thousand, twenty-one".