101210121020137 has 2 divisors, whose sum is σ = 101210121020138. Its totient is φ = 101210121020136.

The previous prime is 101210121020111. The next prime is 101210121020201. The reversal of 101210121020137 is 731020121012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54109132403881 + 47100988616256 = 7355891^2 + 6863016^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210121020137 - 2⁷ = 101210121020009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101210121024137) 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, 50605060510068 + 50605060510069.

It is an arithmetic number, because the mean of its divisors is an integer number (50605060510069).

Almost surely, 2^{101210121020137} is an apocalyptic number.

It is an amenable number.

101210121020137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210121020137 is an equidigital number, since it uses as much as digits as its factorization.

101210121020137 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 101210121020137 its reverse (731020121012101), we get a palindrome (832230242032238).

The spelling of 101210121020137 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one million, twenty thousand, one hundred thirty-seven".