10200122022200 has 96 divisors (see below), whose sum is σ = 25878695778000. Its totient is φ = 3708063283200.

The previous prime is 10200122022133. The next prime is 10200122022221. The reversal of 10200122022200 is 222022100201.

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, 6963536 + ... + 8300064.

Almost surely, 2^{10200122022200} is an apocalyptic number.

10200122022200 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 10200122022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939347889000).

10200122022200 is an abundant number, since it is smaller than the sum of its proper divisors (15678573755800).

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

10200122022200 is a wasteful number, since it uses less digits than its factorization.

10200122022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340025 (or 1340016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10200122022200 its reverse (222022100201), we get a palindrome (10422144122401).

The spelling of 10200122022200 in words is "ten trillion, two hundred billion, one hundred twenty-two million, twenty-two thousand, two hundred".