10122001202200 has 96 divisors (see below), whose sum is σ = 23593871034000. Its totient is φ = 4038443942400.

The previous prime is 10122001202171. The next prime is 10122001202213. The reversal of 10122001202200 is 220210022101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847803831 + ... + 847815769.

Almost surely, 2^{10122001202200} is an apocalyptic number.

10122001202200 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 10122001202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796935517000).

10122001202200 is an abundant number, since it is smaller than the sum of its proper divisors (13471869831800).

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

10122001202200 is a wasteful number, since it uses less digits than its factorization.

10122001202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22445 (or 22436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10122001202200 its reverse (220210022101), we get a palindrome (10342211224301).

The spelling of 10122001202200 in words is "ten trillion, one hundred twenty-two billion, one million, two hundred two thousand, two hundred".