220103011000 has 256 divisors, whose sum is σ = 571501008000. Its totient is φ = 79001395200.

The previous prime is 220103010983. The next prime is 220103011003. The reversal of 220103011000 is 110301022.

It is a super-2 number, since 2×220103011000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103011003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29199232 + ... + 29206768.

Almost surely, 2^220103011000 is an apocalyptic number.

220103011000 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 220103011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285750504000).

220103011000 is an abundant number, since it is smaller than the sum of its proper divisors (351397997000).

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

220103011000 is a wasteful number, since it uses less digits than its factorization.

220103011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 220103011000 its reverse (110301022), we get a palindrome (220213312022).

The spelling of 220103011000 in words is "two hundred twenty billion, one hundred three million, eleven thousand".