122100310011061 has 2 divisors, whose sum is σ = 122100310011062. Its totient is φ = 122100310011060.

The previous prime is 122100310011059. The next prime is 122100310011107. The reversal of 122100310011061 is 160110013001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66688945668900 + 55411364342161 = 8166330^2 + 7443881^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100310011061 - 2¹ = 122100310011059 is a prime.

Together with 122100310011059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100310011461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050155005530 + 61050155005531.

It is an arithmetic number, because the mean of its divisors is an integer number (61050155005531).

Almost surely, 2^{122100310011061} is an apocalyptic number.

It is an amenable number.

122100310011061 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100310011061 is an equidigital number, since it uses as much as digits as its factorization.

122100310011061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122100310011061 its reverse (160110013001221), we get a palindrome (282210323012282).

The spelling of 122100310011061 in words is "one hundred twenty-two trillion, one hundred billion, three hundred ten million, eleven thousand, sixty-one".