102101220220001 has 2 divisors, whose sum is σ = 102101220220002. Its totient is φ = 102101220220000.

The previous prime is 102101220219847. The next prime is 102101220220009. The reversal of 102101220220001 is 100022022101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101446714949776 + 654505270225 = 10072076^2 + 809015^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101220220001 - 2¹⁸ = 102101219957857 is a prime.

It is not a weakly prime, because it can be changed into another prime (102101220220009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050610110000 + 51050610110001.

It is an arithmetic number, because the mean of its divisors is an integer number (51050610110001).

Almost surely, 2^{102101220220001} is an apocalyptic number.

It is an amenable number.

102101220220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101220220001 is an equidigital number, since it uses as much as digits as its factorization.

102101220220001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102101220220001 its reverse (100022022101201), we get a palindrome (202123242321202).

The spelling of 102101220220001 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, two hundred twenty thousand, one".