10200121200200 has 24 divisors (see below), whose sum is σ = 23715281790930. Its totient is φ = 4080048480000.

The previous prime is 10200121200193. The next prime is 10200121200211. The reversal of 10200121200200 is 200212100201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9926292962404 + 273828237796 = 3150602^2 + 523286^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25500302801 + ... + 25500303200.

Almost surely, 2^{10200121200200} is an apocalyptic number.

10200121200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200121200200 is an abundant number, since it is smaller than the sum of its proper divisors (13515160590730).

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

10200121200200 is a wasteful number, since it uses less digits than its factorization.

10200121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51000606017 (or 51000606008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200121200200 its reverse (200212100201), we get a palindrome (10400333300401).

Subtracting from 10200121200200 its reverse (200212100201), we obtain a palindrome (9999909099999).

The spelling of 10200121200200 in words is "ten trillion, two hundred billion, one hundred twenty-one million, two hundred thousand, two hundred".