1010262434261 has 2 divisors, whose sum is σ = 1010262434262. Its totient is φ = 1010262434260.

The previous prime is 1010262434243. The next prime is 1010262434263. The reversal of 1010262434261 is 1624342620101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 971740521361 + 38521912900 = 985769^2 + 196270^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010262434261 - 2³⁴ = 993082565077 is a prime.

It is a super-2 number, since 2×1010262434261² (a number of 25 digits) contains 22 as substring.

Together with 1010262434263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010262434263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505131217130 + 505131217131.

It is an arithmetic number, because the mean of its divisors is an integer number (505131217131).

Almost surely, 2^{1010262434261} is an apocalyptic number.

It is an amenable number.

1010262434261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010262434261 is an equidigital number, since it uses as much as digits as its factorization.

1010262434261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 1010262434261 in words is "one trillion, ten billion, two hundred sixty-two million, four hundred thirty-four thousand, two hundred sixty-one".