10022001010128 has 120 divisors (see below), whose sum is σ = 29700897465096. Its totient is φ = 3143802470400.

The previous prime is 10022001010123. The next prime is 10022001010129. The reversal of 10022001010128 is 82101010022001.

It can be written as a sum of positive squares in 4 ways, for example, as 2945932842384 + 7076068167744 = 1716372^2 + 2660088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10022001010128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022001010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21905958 + ... + 22358778.

Almost surely, 2^{10022001010128} is an apocalyptic number.

10022001010128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10022001010128 is an abundant number, since it is smaller than the sum of its proper divisors (19678896454968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022001010128 is a wasteful number, since it uses less digits than its factorization.

10022001010128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461893 (or 461884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10022001010128 its reverse (82101010022001), we get a palindrome (92123011032129).

The spelling of 10022001010128 in words is "ten trillion, twenty-two billion, one million, ten thousand, one hundred twenty-eight".