102201021211001 has 2 divisors, whose sum is σ = 102201021211002. Its totient is φ = 102201021211000.

The previous prime is 102201021210931. The next prime is 102201021211013. The reversal of 102201021211001 is 100112120102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94932362568976 + 7268658642025 = 9743324^2 + 2696045^2 .

It is an emirp because it is prime and its reverse (100112120102201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102201021211001 - 2³⁸ = 101926143304057 is a prime.

It is not a weakly prime, because it can be changed into another prime (102201021211031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100510605500 + 51100510605501.

It is an arithmetic number, because the mean of its divisors is an integer number (51100510605501).

Almost surely, 2^{102201021211001} is an apocalyptic number.

It is an amenable number.

102201021211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201021211001 is an equidigital number, since it uses as much as digits as its factorization.

102201021211001 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 14.

Adding to 102201021211001 its reverse (100112120102201), we get a palindrome (202313141313202).

The spelling of 102201021211001 in words is "one hundred two trillion, two hundred one billion, twenty-one million, two hundred eleven thousand, one".