101202120000031 has 2 divisors, whose sum is σ = 101202120000032. Its totient is φ = 101202120000030.

The previous prime is 101202119999987. The next prime is 101202120000073. The reversal of 101202120000031 is 130000021202101.

It is a strong prime.

It is an emirp because it is prime and its reverse (130000021202101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101202120000031 - 2³⁷ = 101064681046559 is a prime.

It is a super-2 number, since 2×101202120000031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101202119999966 and 101202120000020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202120000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601060000015 + 50601060000016.

It is an arithmetic number, because the mean of its divisors is an integer number (50601060000016).

Almost surely, 2^{101202120000031} is an apocalyptic number.

101202120000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202120000031 is an equidigital number, since it uses as much as digits as its factorization.

101202120000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101202120000031 its reverse (130000021202101), we get a palindrome (231202141202132).

The spelling of 101202120000031 in words is "one hundred one trillion, two hundred two billion, one hundred twenty million, thirty-one", and thus it is an aban number.