10222034314200 has 96 divisors (see below), whose sum is σ = 31741209504000. Its totient is φ = 2721325010560.

The previous prime is 10222034314181. The next prime is 10222034314231. The reversal of 10222034314200 is 241343022201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13861572 + ... + 14580371.

It is an arithmetic number, because the mean of its divisors is an integer number (330637599000).

Almost surely, 2^{10222034314200} is an apocalyptic number.

10222034314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222034314200 is an abundant number, since it is smaller than the sum of its proper divisors (21519175189800).

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

10222034314200 is a wasteful number, since it uses less digits than its factorization.

10222034314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28442561 (or 28442552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10222034314200 its reverse (241343022201), we get a palindrome (10463377336401).

The spelling of 10222034314200 in words is "ten trillion, two hundred twenty-two billion, thirty-four million, three hundred fourteen thousand, two hundred".