102100122211201 has 2 divisors, whose sum is σ = 102100122211202. Its totient is φ = 102100122211200.

The previous prime is 102100122211147. The next prime is 102100122211231. The reversal of 102100122211201 is 102112221001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68816730492225 + 33283391718976 = 8295585^2 + 5769176^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100122211201 - 2³⁹ = 101550366397313 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100122211231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050061105600 + 51050061105601.

It is an arithmetic number, because the mean of its divisors is an integer number (51050061105601).

Almost surely, 2^{102100122211201} is an apocalyptic number.

It is an amenable number.

102100122211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100122211201 is an equidigital number, since it uses as much as digits as its factorization.

102100122211201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102100122211201 its reverse (102112221001201), we get a palindrome (204212343212402).

The spelling of 102100122211201 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, two hundred one".