220000200120100 has 144 divisors (see below), whose sum is σ = 484372285689600. Its totient is φ = 86722014776320.

The previous prime is 220000200120059. The next prime is 220000200120131. The reversal of 220000200120100 is 1021002000022.

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

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, 3266827029 + ... + 3266894371.

It is an arithmetic number, because the mean of its divisors is an integer number (3363696428400).

Almost surely, 2^{220000200120100} is an apocalyptic number.

220000200120100 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 220000200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242186142844800).

220000200120100 is an abundant number, since it is smaller than the sum of its proper divisors (264372085569500).

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

220000200120100 is a wasteful number, since it uses less digits than its factorization.

220000200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68662 (or 68655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220000200120100 its reverse (1021002000022), we get a palindrome (221021202120122).

The spelling of 220000200120100 in words is "two hundred twenty trillion, two hundred million, one hundred twenty thousand, one hundred".