102100012211101 has 2 divisors, whose sum is σ = 102100012211102. Its totient is φ = 102100012211100.

The previous prime is 102100012211089. The next prime is 102100012211107. The reversal of 102100012211101 is 101112210001201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69607150748100 + 32492861463001 = 8343090^2 + 5700251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102100012211101 is a prime.

It is a super-4 number, since 4×102100012211101⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100012211107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050006105550 + 51050006105551.

It is an arithmetic number, because the mean of its divisors is an integer number (51050006105551).

Almost surely, 2^{102100012211101} is an apocalyptic number.

It is an amenable number.

102100012211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100012211101 is an equidigital number, since it uses as much as digits as its factorization.

102100012211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102100012211101 its reverse (101112210001201), we get a palindrome (203212222212302).

The spelling of 102100012211101 in words is "one hundred two trillion, one hundred billion, twelve million, two hundred eleven thousand, one hundred one".