101022123321 has 64 divisors (see below), whose sum is σ = 180128409600. Its totient is φ = 54663336000.

The previous prime is 101022123311. The next prime is 101022123353. The reversal of 101022123321 is 123321220101.

101022123321 is a `hidden beast` number, since 101 + 0 + 221 + 23 + 321 = 666.

It is not a de Polignac number, because 101022123321 - 2⁹ = 101022122809 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101022123294 and 101022123303.

It is not an unprimeable number, because it can be changed into a prime (101022123311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9801871 + ... + 9812171.

It is an arithmetic number, because the mean of its divisors is an integer number (2814506400).

Almost surely, 2^101022123321 is an apocalyptic number.

It is an amenable number.

101022123321 is a deficient number, since it is larger than the sum of its proper divisors (79106286279).

101022123321 is a wasteful number, since it uses less digits than its factorization.

101022123321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13067 (or 13061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101022123321 its reverse (123321220101), we get a palindrome (224343343422).

The spelling of 101022123321 in words is "one hundred one billion, twenty-two million, one hundred twenty-three thousand, three hundred twenty-one".