101456261 has 2 divisors, whose sum is σ = 101456262. Its totient is φ = 101456260.

The previous prime is 101456249. The next prime is 101456269. The reversal of 101456261 is 162654101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95844100 + 5612161 = 9790^2 + 2369^2 .

It is an emirp because it is prime and its reverse (162654101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101456261 - 2¹⁸ = 101194117 is a prime.

It is a super-2 number, since 2×101456261² = 20586745792200242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101456261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101456269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50728130 + 50728131.

It is an arithmetic number, because the mean of its divisors is an integer number (50728131).

Almost surely, 2^101456261 is an apocalyptic number.

It is an amenable number.

101456261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101456261 is an equidigital number, since it uses as much as digits as its factorization.

101456261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101456261 is about 10072.5498757762. The cubic root of 101456261 is about 466.4011554847.

It can be divided in two parts, 1014 and 56261, that added together give a palindrome (57275).

The spelling of 101456261 in words is "one hundred one million, four hundred fifty-six thousand, two hundred sixty-one".