10022120033400 has 288 divisors, whose sum is σ = 33754872808800. Its totient is φ = 2664850867200.

The previous prime is 10022120033381. The next prime is 10022120033411. The reversal of 10022120033400 is 433002122001.

10022120033400 is a `hidden beast` number, since 10 + 0 + 2 + 21 + 200 + 33 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1862498710 + ... + 1862504090.

It is an arithmetic number, because the mean of its divisors is an integer number (117204419475).

Almost surely, 2^{10022120033400} is an apocalyptic number.

10022120033400 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 10022120033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877436404400).

10022120033400 is an abundant number, since it is smaller than the sum of its proper divisors (23732752775400).

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

10022120033400 is a wasteful number, since it uses less digits than its factorization.

10022120033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022120033400 its reverse (433002122001), we get a palindrome (10455122155401).

The spelling of 10022120033400 in words is "ten trillion, twenty-two billion, one hundred twenty million, thirty-three thousand, four hundred".