101221131324334 has 64 divisors (see below), whose sum is σ = 179575835904000. Its totient is φ = 42766551828000.

The previous prime is 101221131324283. The next prime is 101221131324337. The reversal of 101221131324334 is 433423131122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221131324296 and 101221131324305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221131324337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34409409 + ... + 37235059.

It is an arithmetic number, because the mean of its divisors is an integer number (2805872436000).

Almost surely, 2^{101221131324334} is an apocalyptic number.

101221131324334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101221131324334 is a deficient number, since it is larger than the sum of its proper divisors (78354704579666).

101221131324334 is an equidigital number, since it uses as much as digits as its factorization.

101221131324334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826414 (or 2826400 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 101221131324334 its reverse (433423131122101), we get a palindrome (534644262446435).

The spelling of 101221131324334 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred twenty-four thousand, three hundred thirty-four".