10220212112200 has 24 divisors (see below), whose sum is σ = 23761993161330. Its totient is φ = 4088084844800.

The previous prime is 10220212112189. The next prime is 10220212112203. The reversal of 10220212112200 is 221121202201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9661416991524 + 558795120676 = 3108282^2 + 747526^2 .

It is not an unprimeable number, because it can be changed into a prime (10220212112203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 25550530081 + ... + 25550530480.

Almost surely, 2^{10220212112200} is an apocalyptic number.

10220212112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220212112200 is an abundant number, since it is smaller than the sum of its proper divisors (13541781049130).

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

10220212112200 is a wasteful number, since it uses less digits than its factorization.

10220212112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51101060577 (or 51101060568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220212112200 its reverse (221121202201), we get a palindrome (10441333314401).

Subtracting from 10220212112200 its reverse (221121202201), we obtain a palindrome (9999090909999).

The spelling of 10220212112200 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, two hundred".