101210121020213 has 2 divisors, whose sum is σ = 101210121020214. Its totient is φ = 101210121020212.

The previous prime is 101210121020201. The next prime is 101210121020243. The reversal of 101210121020213 is 312020121012101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58917184117009 + 42292936903204 = 7675753^2 + 6503302^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210121020213 - 2²⁶ = 101210053911349 is a prime.

It is a super-2 number, since 2×101210121020213² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210121020191 and 101210121020200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210121020243) 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, 50605060510106 + 50605060510107.

It is an arithmetic number, because the mean of its divisors is an integer number (50605060510107).

Almost surely, 2^{101210121020213} is an apocalyptic number.

It is an amenable number.

101210121020213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210121020213 is an equidigital number, since it uses as much as digits as its factorization.

101210121020213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101210121020213 its reverse (312020121012101), we get a palindrome (413230242032314).

The spelling of 101210121020213 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one million, twenty thousand, two hundred thirteen".