1020009123949 has 2 divisors, whose sum is σ = 1020009123950. Its totient is φ = 1020009123948.

The previous prime is 1020009123907. The next prime is 1020009123967. The reversal of 1020009123949 is 9493219000201.

1020009123949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788575968324 + 231433155625 = 888018^2 + 481075^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020009123949 - 2¹⁹ = 1020008599661 is a prime.

It is a super-2 number, since 2×1020009123949² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020009123979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510004561974 + 510004561975.

It is an arithmetic number, because the mean of its divisors is an integer number (510004561975).

Almost surely, 2^{1020009123949} is an apocalyptic number.

It is an amenable number.

1020009123949 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020009123949 is an equidigital number, since it uses as much as digits as its factorization.

1020009123949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 1020009123949 in words is "one trillion, twenty billion, nine million, one hundred twenty-three thousand, nine hundred forty-nine".