102101002211261 has 2 divisors, whose sum is σ = 102101002211262. Its totient is φ = 102101002211260.

The previous prime is 102101002211203. The next prime is 102101002211267. The reversal of 102101002211261 is 162112200101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63375833279236 + 38725168932025 = 7960894^2 + 6222955^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101002211261 - 2¹⁸ = 102101001949117 is a prime.

It is a super-2 number, since 2×102101002211261² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101002211267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050501105630 + 51050501105631.

It is an arithmetic number, because the mean of its divisors is an integer number (51050501105631).

Almost surely, 2^{102101002211261} is an apocalyptic number.

It is an amenable number.

102101002211261 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101002211261 is an equidigital number, since it uses as much as digits as its factorization.

102101002211261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 102101002211261 its reverse (162112200101201), we get a palindrome (264213202312462).

The spelling of 102101002211261 in words is "one hundred two trillion, one hundred one billion, two million, two hundred eleven thousand, two hundred sixty-one".