101033012321 has 2 divisors, whose sum is σ = 101033012322. Its totient is φ = 101033012320.

The previous prime is 101033012263. The next prime is 101033012369. The reversal of 101033012321 is 123210330101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88304659921 + 12728352400 = 297161^2 + 112820^2 .

It is a cyclic number.

It is not a de Polignac number, because 101033012321 - 2⁶ = 101033012257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101033012321.

It is not a weakly prime, because it can be changed into another prime (101033012921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516506160 + 50516506161.

It is an arithmetic number, because the mean of its divisors is an integer number (50516506161).

Almost surely, 2^101033012321 is an apocalyptic number.

It is an amenable number.

101033012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101033012321 is an equidigital number, since it uses as much as digits as its factorization.

101033012321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101033012321 its reverse (123210330101), we get a palindrome (224243342422).

The spelling of 101033012321 in words is "one hundred one billion, thirty-three million, twelve thousand, three hundred twenty-one".