10023222133100 has 144 divisors (see below), whose sum is σ = 24368790297600. Its totient is φ = 3547553760000.

The previous prime is 10023222133097. The next prime is 10023222133103. The reversal of 10023222133100 is 133122232001.

It is an interprime number because it is at equal distance from previous prime (10023222133097) and next prime (10023222133103).

It is a super-2 number, since 2×10023222133100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10023222133103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5790341 + ... + 7319459.

It is an arithmetic number, because the mean of its divisors is an integer number (169227710400).

Almost surely, 2^{10023222133100} is an apocalyptic number.

10023222133100 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 10023222133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184395148800).

10023222133100 is an abundant number, since it is smaller than the sum of its proper divisors (14345568164500).

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

10023222133100 is a wasteful number, since it uses less digits than its factorization.

10023222133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529304 (or 1529297 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10023222133100 its reverse (133122232001), we get a palindrome (10156344365101).

The spelling of 10023222133100 in words is "ten trillion, twenty-three billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred".