202200212101120 has 96 divisors (see below), whose sum is σ = 486560202382800. Its totient is φ = 80646999605248.

The previous prime is 202200212101031. The next prime is 202200212101133. The reversal of 202200212101120 is 21101212002202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202200212101094 and 202200212101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24899335 + ... + 32005894.

Almost surely, 2^{202200212101120} is an apocalyptic number.

202200212101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200212101120 is an abundant number, since it is smaller than the sum of its proper divisors (284359990281680).

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

202200212101120 is an equidigital number, since it uses as much as digits as its factorization.

202200212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56905603 (or 56905583 counting only the distinct ones).

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

Adding to 202200212101120 its reverse (21101212002202), we get a palindrome (223301424103322).

The spelling of 202200212101120 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred one thousand, one hundred twenty".