220100122110000 has 400 divisors, whose sum is σ = 777037986350208. Its totient is φ = 53224512000000.

The previous prime is 220100122109993. The next prime is 220100122110013. The reversal of 220100122110000 is 11221001022.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 131498367 + ... + 133161633.

Almost surely, 2^{220100122110000} is an apocalyptic number.

220100122110000 is a gapful number since it is divisible by the number (20) 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 220100122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388518993175104).

220100122110000 is an abundant number, since it is smaller than the sum of its proper divisors (556937864240208).

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

220100122110000 is a wasteful number, since it uses less digits than its factorization.

220100122110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663710 (or 1663689 counting only the distinct ones).

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

Adding to 220100122110000 its reverse (11221001022), we get a palindrome (220111343111022).

The spelling of 220100122110000 in words is "two hundred twenty trillion, one hundred billion, one hundred twenty-two million, one hundred ten thousand".