10022330221200 has 240 divisors, whose sum is σ = 38914987704000. Its totient is φ = 2429655782400.

The previous prime is 10022330221151. The next prime is 10022330221201. The reversal of 10022330221200 is 212203322001.

10022330221200 is a `hidden beast` number, since 10 + 0 + 2 + 233 + 0 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (10022330221201) 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, 42062725 + ... + 42300324.

It is an arithmetic number, because the mean of its divisors is an integer number (162145782100).

Almost surely, 2^{10022330221200} is an apocalyptic number.

10022330221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022330221200 is an abundant number, since it is smaller than the sum of its proper divisors (28892657482800).

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

10022330221200 is a wasteful number, since it uses less digits than its factorization.

10022330221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84363087 (or 84363070 counting only the distinct ones).

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

Adding to 10022330221200 its reverse (212203322001), we get a palindrome (10234533543201).

The spelling of 10022330221200 in words is "ten trillion, twenty-two billion, three hundred thirty million, two hundred twenty-one thousand, two hundred".