101012021211037 has 2 divisors, whose sum is σ = 101012021211038. Its totient is φ = 101012021211036.

The previous prime is 101012021210957. The next prime is 101012021211041. The reversal of 101012021211037 is 730112120210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81284397197796 + 19727624013241 = 9015786^2 + 4441579^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012021211037 - 2⁷ = 101012021210909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012021210999 and 101012021211017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012021211047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506010605518 + 50506010605519.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010605519).

Almost surely, 2^{101012021211037} is an apocalyptic number.

It is an amenable number.

101012021211037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012021211037 is an equidigital number, since it uses as much as digits as its factorization.

101012021211037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 101012021211037 its reverse (730112120210101), we get a palindrome (831124141421138).

The spelling of 101012021211037 in words is "one hundred one trillion, twelve billion, twenty-one million, two hundred eleven thousand, thirty-seven".