10011220100 has 288 divisors, whose sum is σ = 27403246080. Its totient is φ = 3107328000.

The previous prime is 10011220069. The next prime is 10011220103. The reversal of 10011220100 is 102211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011220103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141003065 + ... + 141003135.

It is an arithmetic number, because the mean of its divisors is an integer number (95150160).

Almost surely, 2^10011220100 is an apocalyptic number.

10011220100 is a gapful number since it is divisible by the number (10) 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 10011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701623040).

10011220100 is an abundant number, since it is smaller than the sum of its proper divisors (17392025980).

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

10011220100 is a wasteful number, since it uses less digits than its factorization.

10011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10011220100 its reverse (102211001), we get a palindrome (10113431101).

Subtracting from 10011220100 its reverse (102211001), we obtain a palindrome (9909009099).

The spelling of 10011220100 in words is "ten billion, eleven million, two hundred twenty thousand, one hundred".