10102100101001 has 2 divisors, whose sum is σ = 10102100101002. Its totient is φ = 10102100101000.

The previous prime is 10102100100977. The next prime is 10102100101061. The reversal of 10102100101001 is 10010100120101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7676091371776 + 2426008729225 = 2770576^2 + 1557565^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102100101001 - 2²² = 10102095906697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102100101001.

It is not a weakly prime, because it can be changed into another prime (10102100101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050050500 + 5051050050501.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050050501).

Almost surely, 2^{10102100101001} is an apocalyptic number.

It is an amenable number.

10102100101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102100101001 is an equidigital number, since it uses as much as digits as its factorization.

10102100101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10102100101001 its reverse (10010100120101), we get a palindrome (20112200221102).

The spelling of 10102100101001 in words is "ten trillion, one hundred two billion, one hundred million, one hundred one thousand, one".