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10122111111037 is a prime number
BaseRepresentation
bin1001001101001011110011…
…0101100100111101111101
31022211122221022211102020111
42103102330311210331331
52311320040421023122
633310011133550021
72063204230561342
oct223227465447575
938748838742214
1010122111111037
113252843926102
121175896645311
13585684820c03
1426dcac9b47c9
15128475407d77
hex934bcd64f7d

10122111111037 has 2 divisors, whose sum is σ = 10122111111038. Its totient is φ = 10122111111036.

The previous prime is 10122111111019. The next prime is 10122111111059. The reversal of 10122111111037 is 73011111122101.

It is an a-pointer prime, because the next prime (10122111111059) can be obtained adding 10122111111037 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9499130828356 + 622980282681 = 3082066^2 + 789291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122111111037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122111110999 and 10122111111017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122111811037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061055555518 + 5061055555519.

It is an arithmetic number, because the mean of its divisors is an integer number (5061055555519).

Almost surely, 210122111111037 is an apocalyptic number.

It is an amenable number.

10122111111037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122111111037 is an equidigital number, since it uses as much as digits as its factorization.

10122111111037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 10122111111037 its reverse (73011111122101), we get a palindrome (83133222233138).

The spelling of 10122111111037 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, thirty-seven".