101012034037 has 2 divisors, whose sum is σ = 101012034038. Its totient is φ = 101012034036.

The previous prime is 101012033987. The next prime is 101012034061. The reversal of 101012034037 is 730430210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82691328721 + 18320705316 = 287561^2 + 135354^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012034037 - 2¹⁵ = 101012001269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012033999 and 101012034017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012034637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506017018 + 50506017019.

It is an arithmetic number, because the mean of its divisors is an integer number (50506017019).

Almost surely, 2^101012034037 is an apocalyptic number.

It is an amenable number.

101012034037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012034037 is an equidigital number, since it uses as much as digits as its factorization.

101012034037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 101012034037 its reverse (730430210101), we get a palindrome (831442244138).

The spelling of 101012034037 in words is "one hundred one billion, twelve million, thirty-four thousand, thirty-seven".