102111221980129 has 2 divisors, whose sum is σ = 102111221980130. Its totient is φ = 102111221980128.

The previous prime is 102111221980069. The next prime is 102111221980199. The reversal of 102111221980129 is 921089122111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84339390587904 + 17771831392225 = 9183648^2 + 4215665^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111221980129 - 2³⁷ = 101973783026657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111221980091 and 102111221980100.

It is not a weakly prime, because it can be changed into another prime (102111221980199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055610990064 + 51055610990065.

It is an arithmetic number, because the mean of its divisors is an integer number (51055610990065).

Almost surely, 2^{102111221980129} is an apocalyptic number.

It is an amenable number.

102111221980129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111221980129 is an equidigital number, since it uses as much as digits as its factorization.

102111221980129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 40.

The spelling of 102111221980129 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, nine hundred eighty thousand, one hundred twenty-nine".