Search a number
-
+
10100100121049 is a prime number
BaseRepresentation
bin1001001011111001110011…
…1000010100000111011001
31022202120010100021021100002
42102332130320110013121
52310440001112333144
633251531050022345
72061464616341021
oct222763470240731
938676110237302
1010100100121049
113244479233594
1211715731179b5
13583587621893
1426cbc15b2a81
15127ad7d5814e
hex92f9ce141d9

10100100121049 has 2 divisors, whose sum is σ = 10100100121050. Its totient is φ = 10100100121048.

The previous prime is 10100100121021. The next prime is 10100100121103. The reversal of 10100100121049 is 94012100100101.

10100100121049 is digitally balanced in base 2, 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., 7948773893449 + 2151326227600 = 2819357^2 + 1466740^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100121049 - 28 = 10100100120793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100121049.

It is not a weakly prime, because it can be changed into another prime (10100100121249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050060524 + 5050050060525.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050060525).

Almost surely, 210100100121049 is an apocalyptic number.

It is an amenable number.

10100100121049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100121049 is an equidigital number, since it uses as much as digits as its factorization.

10100100121049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10100100121049 in words is "ten trillion, one hundred billion, one hundred million, one hundred twenty-one thousand, forty-nine".