101321021001 has 16 divisors (see below), whose sum is σ = 138790832768. Its totient is φ = 65700460800.

The previous prime is 101321020991. The next prime is 101321021017. The reversal of 101321021001 is 100120123101.

It is not a de Polignac number, because 101321021001 - 2⁶ = 101321020937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101321021041) 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, 200196 + ... + 492666.

It is an arithmetic number, because the mean of its divisors is an integer number (8674427048).

Almost surely, 2^101321021001 is an apocalyptic number.

It is an amenable number.

101321021001 is a deficient number, since it is larger than the sum of its proper divisors (37469811767).

101321021001 is a wasteful number, since it uses less digits than its factorization.

101321021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295632.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101321021001 its reverse (100120123101), we get a palindrome (201441144102).

The spelling of 101321021001 in words is "one hundred one billion, three hundred twenty-one million, twenty-one thousand, one".