101322131020121 has 16 divisors (see below), whose sum is σ = 110577595921728. Its totient is φ = 92074062225600.

The previous prime is 101322131020087. The next prime is 101322131020127. The reversal of 101322131020121 is 121020131223101.

It is a cyclic number.

It is not a de Polignac number, because 101322131020121 - 2⁴² = 96924084509017 is a prime.

It is a super-2 number, since 2×101322131020121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101322131020093 and 101322131020102.

It is not an unprimeable number, because it can be changed into a prime (101322131020127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420693355 + ... + 1420764671.

It is an arithmetic number, because the mean of its divisors is an integer number (6911099745108).

Almost surely, 2^{101322131020121} is an apocalyptic number.

101322131020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101322131020121 is a deficient number, since it is larger than the sum of its proper divisors (9255464901607).

101322131020121 is a wasteful number, since it uses less digits than its factorization.

101322131020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121352.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101322131020121 its reverse (121020131223101), we get a palindrome (222342262243222).

The spelling of 101322131020121 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty-one million, twenty thousand, one hundred twenty-one".