10120202112200 has 96 divisors (see below), whose sum is σ = 24945792552360. Its totient is φ = 3805028659200.

The previous prime is 10120202112193. The next prime is 10120202112203. The reversal of 10120202112200 is 221120202101.

It can be written as a sum of positive squares in 12 ways, for example, as 419082737956 + 9701119374244 = 647366^2 + 3114662^2 .

It is not an unprimeable number, because it can be changed into a prime (10120202112203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702890 + ... + 4553510.

Almost surely, 2^{10120202112200} is an apocalyptic number.

10120202112200 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 10120202112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472896276180).

10120202112200 is an abundant number, since it is smaller than the sum of its proper divisors (14825590440160).

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

10120202112200 is a wasteful number, since it uses less digits than its factorization.

10120202112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851427 (or 3851418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120202112200 its reverse (221120202101), we get a palindrome (10341322314301).

The spelling of 10120202112200 in words is "ten trillion, one hundred twenty billion, two hundred two million, one hundred twelve thousand, two hundred".