202200211100100 has 144 divisors (see below), whose sum is σ = 598648344053760. Its totient is φ = 52665193257600.

The previous prime is 202200211100077. The next prime is 202200211100117. The reversal of 202200211100100 is 1001112002202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086590065 + ... + 1086776135.

It is an arithmetic number, because the mean of its divisors is an integer number (4157280167040).

Almost surely, 2^{202200211100100} is an apocalyptic number.

202200211100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200211100100 is an abundant number, since it is smaller than the sum of its proper divisors (396448132953660).

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

202200211100100 is a wasteful number, since it uses less digits than its factorization.

202200211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270370 (or 270363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202200211100100 its reverse (1001112002202), we get a palindrome (203201323102302).

The spelling of 202200211100100 in words is "two hundred two trillion, two hundred billion, two hundred eleven million, one hundred thousand, one hundred".