220101112000000 has 1120 divisors, whose sum is σ = 692204089674240. Its totient is φ = 67917312000000.

The previous prime is 220101111999997. The next prime is 220101112000069. The reversal of 220101112000000 is 211101022.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63447998266 + ... + 63448001734.

Almost surely, 2^{220101112000000} is an apocalyptic number.

220101112000000 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 220101112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346102044837120).

220101112000000 is an abundant number, since it is smaller than the sum of its proper divisors (472102977674240).

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

220101112000000 is an frugal number, since it uses more digits than its factorization.

220101112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220101112000000 its reverse (211101022), we get a palindrome (220101323101022).

The spelling of 220101112000000 in words is "two hundred twenty trillion, one hundred one billion, one hundred twelve million", and thus it is an aban number.