10100222121088 has 128 divisors (see below), whose sum is σ = 23189502772800. Its totient is φ = 4333673041920.

The previous prime is 10100222121049. The next prime is 10100222121089. The reversal of 10100222121088 is 88012122200101.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10100222121089) 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, 6728806 + ... + 8091802.

Almost surely, 2^{10100222121088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100222121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594751386400).

10100222121088 is an abundant number, since it is smaller than the sum of its proper divisors (13089280651712).

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

10100222121088 is a wasteful number, since it uses less digits than its factorization.

10100222121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363318 (or 1363306 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

Adding to 10100222121088 its reverse (88012122200101), we get a palindrome (98112344321189).

The spelling of 10100222121088 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, eighty-eight".