220201022111100 has 144 divisors (see below), whose sum is σ = 639206028300000. Its totient is φ = 58527594270720.

The previous prime is 220201022111053. The next prime is 220201022111107. The reversal of 220201022111100 is 1111220102022.

It is a super-4 number, since 4×220201022111100⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220201022111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201022111107) 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, 769120776 + ... + 769407024.

Almost surely, 2^{220201022111100} is an apocalyptic number.

220201022111100 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 220201022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319603014150000).

220201022111100 is an abundant number, since it is smaller than the sum of its proper divisors (419005006188900).

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

220201022111100 is a wasteful number, since it uses less digits than its factorization.

220201022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294672 (or 294665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220201022111100 its reverse (1111220102022), we get a palindrome (221312242213122).

The spelling of 220201022111100 in words is "two hundred twenty trillion, two hundred one billion, twenty-two million, one hundred eleven thousand, one hundred".