101015261 has 2 divisors, whose sum is σ = 101015262. Its totient is φ = 101015260.

The previous prime is 101015231. The next prime is 101015263. The reversal of 101015261 is 162510101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85562500 + 15452761 = 9250^2 + 3931^2 .

It is a cyclic number.

It is not a de Polignac number, because 101015261 - 2¹⁸ = 100753117 is a prime.

Together with 101015263, 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 (101015263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50507630 + 50507631.

It is an arithmetic number, because the mean of its divisors is an integer number (50507631).

Almost surely, 2^101015261 is an apocalyptic number.

It is an amenable number.

101015261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101015261 is an equidigital number, since it uses as much as digits as its factorization.

101015261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 101015261 is about 10050.6348555701. The cubic root of 101015261 is about 465.7244052500.

Adding to 101015261 its reverse (162510101), we get a palindrome (263525362).

The spelling of 101015261 in words is "one hundred one million, fifteen thousand, two hundred sixty-one".