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122102971201 is a prime number
BaseRepresentation
bin111000110110111100…
…1110111101101000001
3102200011120021121122201
41301231321313231001
54000031330034301
6132032054233201
711551553062531
oct1615571675501
9380146247581
10122102971201
1147868a42552
121b7b8055801
13b68baa5723
145ca47674c1
153299908201
hex1c6de77b41

122102971201 has 2 divisors, whose sum is σ = 122102971202. Its totient is φ = 122102971200.

The previous prime is 122102971169. The next prime is 122102971217. The reversal of 122102971201 is 102179201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121790530225 + 312440976 = 348985^2 + 17676^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102971201 - 25 = 122102971169 is a prime.

It is a super-2 number, since 2×1221029712012 (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 122102971201.

It is not a weakly prime, because it can be changed into another prime (122162971201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051485600 + 61051485601.

It is an arithmetic number, because the mean of its divisors is an integer number (61051485601).

Almost surely, 2122102971201 is an apocalyptic number.

It is an amenable number.

122102971201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102971201 is an equidigital number, since it uses as much as digits as its factorization.

122102971201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 122102971201 in words is "one hundred twenty-two billion, one hundred two million, nine hundred seventy-one thousand, two hundred one".