20000110220100 has 432 divisors, whose sum is σ = 64216504672320. Its totient is φ = 5205465907200.

The previous prime is 20000110220089. The next prime is 20000110220113. The reversal of 20000110220100 is 102201100002.

It is a super-2 number, since 2×20000110220100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1864111536 + ... + 1864122264.

Almost surely, 2^{20000110220100} is an apocalyptic number.

20000110220100 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 20000110220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32108252336160).

20000110220100 is an abundant number, since it is smaller than the sum of its proper divisors (44216394452220).

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

20000110220100 is a wasteful number, since it uses less digits than its factorization.

20000110220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20000110220100 its reverse (102201100002), we get a palindrome (20102311320102).

The spelling of 20000110220100 in words is "twenty trillion, one hundred ten million, two hundred twenty thousand, one hundred".