10200102202001 has 2 divisors, whose sum is σ = 10200102202002. Its totient is φ = 10200102202000.

The previous prime is 10200102201983. The next prime is 10200102202021. The reversal of 10200102202001 is 10020220100201.

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., 9787193145601 + 412909056400 = 3128449^2 + 642580^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200102202001 - 2²⁶ = 10200035093137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200102202021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100051101000 + 5100051101001.

It is an arithmetic number, because the mean of its divisors is an integer number (5100051101001).

Almost surely, 2^{10200102202001} is an apocalyptic number.

It is an amenable number.

10200102202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200102202001 is an equidigital number, since it uses as much as digits as its factorization.

10200102202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200102202001 its reverse (10020220100201), we get a palindrome (20220322302202).

It can be divided in two parts, 10200 and 102202001, that added together give a palindrome (102212201).

The spelling of 10200102202001 in words is "ten trillion, two hundred billion, one hundred two million, two hundred two thousand, one".