101032322022131 has 8 divisors (see below), whose sum is σ = 101526293750784. Its totient is φ = 100538493176520.

The previous prime is 101032322022127. The next prime is 101032322022223. The reversal of 101032322022131 is 131220223230101.

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 101032322022131 - 2² = 101032322022127 is a prime.

It is a super-2 number, since 2×101032322022131² (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 = 101032322022097 and 101032322022106.

It is not an unprimeable number, because it can be changed into a prime (101032322022431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34302971 + ... + 37131636.

It is an arithmetic number, because the mean of its divisors is an integer number (12690786718848).

Almost surely, 2^{101032322022131} is an apocalyptic number.

101032322022131 is a deficient number, since it is larger than the sum of its proper divisors (493971728653).

101032322022131 is an equidigital number, since it uses as much as digits as its factorization.

101032322022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71441521.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101032322022131 its reverse (131220223230101), we get a palindrome (232252545252232).

The spelling of 101032322022131 in words is "one hundred one trillion, thirty-two billion, three hundred twenty-two million, twenty-two thousand, one hundred thirty-one".