101051521849 has 2 divisors, whose sum is σ = 101051521850. Its totient is φ = 101051521848.

The previous prime is 101051521847. The next prime is 101051521871. The reversal of 101051521849 is 948125150101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93712515625 + 7339006224 = 306125^2 + 85668^2 .

It is a cyclic number.

It is not a de Polignac number, because 101051521849 - 2¹ = 101051521847 is a prime.

It is a super-2 number, since 2×101051521849² (a number of 23 digits) contains 22 as substring.

Together with 101051521847, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101051521847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525760924 + 50525760925.

It is an arithmetic number, because the mean of its divisors is an integer number (50525760925).

Almost surely, 2^101051521849 is an apocalyptic number.

It is an amenable number.

101051521849 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051521849 is an equidigital number, since it uses as much as digits as its factorization.

101051521849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 37.

The spelling of 101051521849 in words is "one hundred one billion, fifty-one million, five hundred twenty-one thousand, eight hundred forty-nine".