101211121020131 has 2 divisors, whose sum is σ = 101211121020132. Its totient is φ = 101211121020130.

The previous prime is 101211121020103. The next prime is 101211121020133. The reversal of 101211121020131 is 131020121112101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101211121020131 - 2³⁴ = 101193941150947 is a prime.

It is a super-2 number, since 2×101211121020131² (a number of 29 digits) contains 22 as substring.

Together with 101211121020133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101211121020133) 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, 50605560510065 + 50605560510066.

It is an arithmetic number, because the mean of its divisors is an integer number (50605560510066).

Almost surely, 2^{101211121020131} is an apocalyptic number.

101211121020131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211121020131 is an equidigital number, since it uses as much as digits as its factorization.

101211121020131 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 17.

Adding to 101211121020131 its reverse (131020121112101), we get a palindrome (232231242132232).

The spelling of 101211121020131 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-one million, twenty thousand, one hundred thirty-one".