122100202801 has 2 divisors, whose sum is σ = 122100202802. Its totient is φ = 122100202800.

The previous prime is 122100202771. The next prime is 122100202831. The reversal of 122100202801 is 108202001221.

It is a balanced prime because it is at equal distance from previous prime (122100202771) and next prime (122100202831).

It can be written as a sum of positive squares in only one way, i.e., 99366800625 + 22733402176 = 315225^2 + 150776^2 .

It is an emirp because it is prime and its reverse (108202001221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122100202801 - 2⁷ = 122100202673 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100202831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050101400 + 61050101401.

It is an arithmetic number, because the mean of its divisors is an integer number (61050101401).

Almost surely, 2^122100202801 is an apocalyptic number.

It is an amenable number.

122100202801 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100202801 is an equidigital number, since it uses as much as digits as its factorization.

122100202801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

The spelling of 122100202801 in words is "one hundred twenty-two billion, one hundred million, two hundred two thousand, eight hundred one".