101211221257 has 2 divisors, whose sum is σ = 101211221258. Its totient is φ = 101211221256.

The previous prime is 101211221249. The next prime is 101211221291. The reversal of 101211221257 is 752122112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90021601296 + 11189619961 = 300036^2 + 105781^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211221257 - 2³ = 101211221249 is a prime.

It is a super-2 number, since 2×101211221257² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101211221057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605610628 + 50605610629.

It is an arithmetic number, because the mean of its divisors is an integer number (50605610629).

Almost surely, 2^101211221257 is an apocalyptic number.

It is an amenable number.

101211221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211221257 is an equidigital number, since it uses as much as digits as its factorization.

101211221257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 101211221257 its reverse (752122112101), we get a palindrome (853333333358).

The spelling of 101211221257 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, two hundred fifty-seven".