220101101210000 has 200 divisors, whose sum is σ = 540540313080768. Its totient is φ = 86776648000000.

The previous prime is 220101101209949. The next prime is 220101101210083. The reversal of 220101101210000 is 12101101022.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 2712869435 + ... + 2712950565.

Almost surely, 2^{220101101210000} is an apocalyptic number.

220101101210000 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 220101101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270156540384).

220101101210000 is an abundant number, since it is smaller than the sum of its proper divisors (320439211870768).

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

220101101210000 is an equidigital number, since it uses as much as digits as its factorization.

220101101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85051 (or 85030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 220101101210000 its reverse (12101101022), we get a palindrome (220113202311022).

The spelling of 220101101210000 in words is "two hundred twenty trillion, one hundred one billion, one hundred one million, two hundred ten thousand".