10010022100093 has 16 divisors (see below), whose sum is σ = 10402095375360. Its totient is φ = 9625597092016.

The previous prime is 10010022100081. The next prime is 10010022100097. The reversal of 10010022100093 is 39000122001001.

It is a de Polignac number, because none of the positive numbers 2^k-10010022100093 is a prime.

It is a super-2 number, since 2×10010022100093² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010022100093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010022100097) 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, 3945330 + ... + 5965372.

It is an arithmetic number, because the mean of its divisors is an integer number (650130960960).

Almost surely, 2^{10010022100093} is an apocalyptic number.

It is an amenable number.

10010022100093 is a deficient number, since it is larger than the sum of its proper divisors (392073275267).

10010022100093 is a wasteful number, since it uses less digits than its factorization.

10010022100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021936.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10010022100093 its reverse (39000122001001), we get a palindrome (49010144101094).

The spelling of 10010022100093 in words is "ten trillion, ten billion, twenty-two million, one hundred thousand, ninety-three".