102820290121 has 2 divisors, whose sum is σ = 102820290122. Its totient is φ = 102820290120.

The previous prime is 102820290077. The next prime is 102820290173. The reversal of 102820290121 is 121092028201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69280030521 + 33540259600 = 263211^2 + 183140^2 .

It is an emirp because it is prime and its reverse (121092028201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102820290121 - 2²³ = 102811901513 is a prime.

It is a super-2 number, since 2×102820290121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102820290121.

It is not a weakly prime, because it can be changed into another prime (102820290421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51410145060 + 51410145061.

It is an arithmetic number, because the mean of its divisors is an integer number (51410145061).

Almost surely, 2^102820290121 is an apocalyptic number.

It is an amenable number.

102820290121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102820290121 is an equidigital number, since it uses as much as digits as its factorization.

102820290121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

It can be divided in two parts, 102820 and 290121, that added together give a triangular number (392941 = T₈₈₆).

The spelling of 102820290121 in words is "one hundred two billion, eight hundred twenty million, two hundred ninety thousand, one hundred twenty-one".