10102201120001 has 2 divisors, whose sum is σ = 10102201120002. Its totient is φ = 10102201120000.

The previous prime is 10102201119979. The next prime is 10102201120013. The reversal of 10102201120001 is 10002110220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10062846495601 + 39354624400 = 3172199^2 + 198380^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102201120001 - 2²² = 10102196925697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10102201120031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100560000 + 5051100560001.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100560001).

Almost surely, 2^{10102201120001} is an apocalyptic number.

It is an amenable number.

10102201120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102201120001 is an equidigital number, since it uses as much as digits as its factorization.

10102201120001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102201120001 its reverse (10002110220101), we get a palindrome (20104311340102).

The spelling of 10102201120001 in words is "ten trillion, one hundred two billion, two hundred one million, one hundred twenty thousand, one".