102120202112101 has 2 divisors, whose sum is σ = 102120202112102. Its totient is φ = 102120202112100.

The previous prime is 102120202112081. The next prime is 102120202112107. The reversal of 102120202112101 is 101211202021201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81838239509601 + 20281962602500 = 9046449^2 + 4503550^2 .

It is an emirp because it is prime and its reverse (101211202021201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102120202112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102120202112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060101056050 + 51060101056051.

It is an arithmetic number, because the mean of its divisors is an integer number (51060101056051).

Almost surely, 2^{102120202112101} is an apocalyptic number.

It is an amenable number.

102120202112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120202112101 is an equidigital number, since it uses as much as digits as its factorization.

102120202112101 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 102120202112101 its reverse (101211202021201), we get a palindrome (203331404133302).

The spelling of 102120202112101 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, one hundred twelve thousand, one hundred one".