101123121133321 has 32 divisors (see below), whose sum is σ = 120400549068800. Its totient is φ = 83105335851840.

The previous prime is 101123121133313. The next prime is 101123121133351. The reversal of 101123121133321 is 123331121321101.

It is a cyclic number.

It is not a de Polignac number, because 101123121133321 - 2³ = 101123121133313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101123121133351) 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, 340904356 + ... + 341200858.

It is an arithmetic number, because the mean of its divisors is an integer number (3762517158400).

Almost surely, 2^{101123121133321} is an apocalyptic number.

It is an amenable number.

101123121133321 is a deficient number, since it is larger than the sum of its proper divisors (19277427935479).

101123121133321 is a wasteful number, since it uses less digits than its factorization.

101123121133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311069.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 101123121133321 its reverse (123331121321101), we get a palindrome (224454242454422).

The spelling of 101123121133321 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty-one".