1010414222001 has 16 divisors (see below), whose sum is σ = 1496933493120. Its totient is φ = 673598890800.

The previous prime is 1010414221987. The next prime is 1010414222011. The reversal of 1010414222001 is 1002224140101.

1010414222001 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 41 + 422 + 200 + 1 = 666.

1010414222001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010414222001 - 2²¹ = 1010412124849 is a prime.

It is a super-5 number, since 5×1010414222001⁵ (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1010414222011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1700971 + ... + 2216783.

It is an arithmetic number, because the mean of its divisors is an integer number (93558343320).

Almost surely, 2^{1010414222001} is an apocalyptic number.

It is an amenable number.

1010414222001 is a deficient number, since it is larger than the sum of its proper divisors (486519271119).

1010414222001 is an equidigital number, since it uses as much as digits as its factorization.

1010414222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588373 (or 588367 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1010414222001 its reverse (1002224140101), we get a palindrome (2012638362102).

The spelling of 1010414222001 in words is "one trillion, ten billion, four hundred fourteen million, two hundred twenty-two thousand, one".