10102212221029 has 2 divisors, whose sum is σ = 10102212221030. Its totient is φ = 10102212221028.

The previous prime is 10102212221009. The next prime is 10102212221077. The reversal of 10102212221029 is 92012221220101.

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., 7111048889025 + 2991163332004 = 2666655^2 + 1729498^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102212221029 - 2²⁵ = 10102178666597 is a prime.

It is a super-2 number, since 2×10102212221029² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102212220994 and 10102212221012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102212221009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051106110514 + 5051106110515.

It is an arithmetic number, because the mean of its divisors is an integer number (5051106110515).

Almost surely, 2^{10102212221029} is an apocalyptic number.

It is an amenable number.

10102212221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102212221029 is an equidigital number, since it uses as much as digits as its factorization.

10102212221029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10102212221029 in words is "ten trillion, one hundred two billion, two hundred twelve million, two hundred twenty-one thousand, twenty-nine".