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10122123029 is a prime number
BaseRepresentation
bin10010110110101001…
…10101011100010101
3222010102120010102112
421123110311130111
5131212230414104
64352224120405
7505556424524
oct113324653425
928112503375
1010122123029
114324746937
121b65a66105
13c540a8815
146c04724bb
153e398286e
hex25b535715

10122123029 has 2 divisors, whose sum is σ = 10122123030. Its totient is φ = 10122123028.

The previous prime is 10122123019. The next prime is 10122123059. The reversal of 10122123029 is 92032122101.

It is a happy number.

10122123029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9934706929 + 187416100 = 99673^2 + 13690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122123029 is a prime.

It is a super-2 number, since 2×101221230292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122122995 and 10122123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122123019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061061514 + 5061061515.

It is an arithmetic number, because the mean of its divisors is an integer number (5061061515).

Almost surely, 210122123029 is an apocalyptic number.

It is an amenable number.

10122123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122123029 is an equidigital number, since it uses as much as digits as its factorization.

10122123029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10122123029 in words is "ten billion, one hundred twenty-two million, one hundred twenty-three thousand, twenty-nine".