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122200202101 is a prime number
BaseRepresentation
bin111000111001110110…
…0110001101101110101
3102200102100020110101011
41301303230301231311
54000231222431401
6132045450232221
711554143402535
oct1616354615565
9380370213334
10122200202101
114790891256a
121b824725671
13b6a5c899c3
145cb36374c5
1532a3212451
hex1c73b31b75

122200202101 has 2 divisors, whose sum is σ = 122200202102. Its totient is φ = 122200202100.

The previous prime is 122200202099. The next prime is 122200202143. The reversal of 122200202101 is 101202002221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89027043876 + 33173158225 = 298374^2 + 182135^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200202101 - 21 = 122200202099 is a prime.

Together with 122200202099, 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 (122200202701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100101050 + 61100101051.

It is an arithmetic number, because the mean of its divisors is an integer number (61100101051).

Almost surely, 2122200202101 is an apocalyptic number.

It is an amenable number.

122200202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200202101 is an equidigital number, since it uses as much as digits as its factorization.

122200202101 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 13.

Adding to 122200202101 its reverse (101202002221), we get a palindrome (223402204322).

The spelling of 122200202101 in words is "one hundred twenty-two billion, two hundred million, two hundred two thousand, one hundred one".