10022022211100 has 288 divisors, whose sum is σ = 23813235230400. Its totient is φ = 3646715904000.

The previous prime is 10022022211099. The next prime is 10022022211121. The reversal of 10022022211100 is 111222022001.

10022022211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1757938250 + ... + 1757943950.

It is an arithmetic number, because the mean of its divisors is an integer number (82684844550).

Almost surely, 2^{10022022211100} is an apocalyptic number.

10022022211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022022211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11906617615200).

10022022211100 is an abundant number, since it is smaller than the sum of its proper divisors (13791213019300).

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

10022022211100 is a wasteful number, since it uses less digits than its factorization.

10022022211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6073 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022022211100 its reverse (111222022001), we get a palindrome (10133244233101).

The spelling of 10022022211100 in words is "ten trillion, twenty-two billion, twenty-two million, two hundred eleven thousand, one hundred".