101051521933 has 2 divisors, whose sum is σ = 101051521934. Its totient is φ = 101051521932.

The previous prime is 101051521871. The next prime is 101051521993. The reversal of 101051521933 is 339125150101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99009656964 + 2041864969 = 314658^2 + 45187^2 .

It is a cyclic number.

It is not a de Polignac number, because 101051521933 - 2³³ = 92461587341 is a prime.

It is a super-2 number, since 2×101051521933² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101051521895 and 101051521904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101051521993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50525760966 + 50525760967.

It is an arithmetic number, because the mean of its divisors is an integer number (50525760967).

Almost surely, 2^101051521933 is an apocalyptic number.

It is an amenable number.

101051521933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051521933 is an equidigital number, since it uses as much as digits as its factorization.

101051521933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 31.

The spelling of 101051521933 in words is "one hundred one billion, fifty-one million, five hundred twenty-one thousand, nine hundred thirty-three".