10100401552321 has 2 divisors, whose sum is σ = 10100401552322. Its totient is φ = 10100401552320.

The previous prime is 10100401552249. The next prime is 10100401552349. The reversal of 10100401552321 is 12325510400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8366926494096 + 1733475058225 = 2892564^2 + 1316615^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100401552321 - 2⁹ = 10100401551809 is a prime.

It is a super-2 number, since 2×10100401552321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100401552391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050200776160 + 5050200776161.

It is an arithmetic number, because the mean of its divisors is an integer number (5050200776161).

Almost surely, 2^{10100401552321} is an apocalyptic number.

It is an amenable number.

10100401552321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100401552321 is an equidigital number, since it uses as much as digits as its factorization.

10100401552321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 10100401552321 its reverse (12325510400101), we get a palindrome (22425911952422).

The spelling of 10100401552321 in words is "ten trillion, one hundred billion, four hundred one million, five hundred fifty-two thousand, three hundred twenty-one".