1010122008953 has 2 divisors, whose sum is σ = 1010122008954. Its totient is φ = 1010122008952.

The previous prime is 1010122008943. The next prime is 1010122008967. The reversal of 1010122008953 is 3598002210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009146820969 + 975187984 = 1004563^2 + 31228^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010122008953 - 2¹⁶ = 1010121943417 is a prime.

It is a super-2 number, since 2×1010122008953² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010122008943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061004476 + 505061004477.

It is an arithmetic number, because the mean of its divisors is an integer number (505061004477).

Almost surely, 2^{1010122008953} is an apocalyptic number.

It is an amenable number.

1010122008953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010122008953 is an equidigital number, since it uses as much as digits as its factorization.

1010122008953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 1010122008953 in words is "one trillion, ten billion, one hundred twenty-two million, eight thousand, nine hundred fifty-three".