101227721261 has 2 divisors, whose sum is σ = 101227721262. Its totient is φ = 101227721260.

The previous prime is 101227721239. The next prime is 101227721293. The reversal of 101227721261 is 162127722101.

It is an a-pointer prime, because the next prime (101227721293) can be obtained adding 101227721261 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95326562500 + 5901158761 = 308750^2 + 76819^2 .

It is an emirp because it is prime and its reverse (162127722101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101227721261 is a prime.

It is a super-2 number, since 2×101227721261² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101227721461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50613860630 + 50613860631.

It is an arithmetic number, because the mean of its divisors is an integer number (50613860631).

Almost surely, 2^101227721261 is an apocalyptic number.

It is an amenable number.

101227721261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101227721261 is an equidigital number, since it uses as much as digits as its factorization.

101227721261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 101227721261 in words is "one hundred one billion, two hundred twenty-seven million, seven hundred twenty-one thousand, two hundred sixty-one".