220114334102100 has 144 divisors (see below), whose sum is σ = 650425498103808. Its totient is φ = 57447303474560.

The previous prime is 220114334102077. The next prime is 220114334102107. The reversal of 220114334102100 is 1201433411022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220114334102107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240810009 + ... + 1240987391.

It is an arithmetic number, because the mean of its divisors is an integer number (4516843736832).

Almost surely, 2^{220114334102100} is an apocalyptic number.

220114334102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220114334102100 is an abundant number, since it is smaller than the sum of its proper divisors (430311164001708).

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

220114334102100 is a wasteful number, since it uses less digits than its factorization.

220114334102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265454 (or 265447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 220114334102100 its reverse (1201433411022), we get a palindrome (221315767513122).

The spelling of 220114334102100 in words is "two hundred twenty trillion, one hundred fourteen billion, three hundred thirty-four million, one hundred two thousand, one hundred".