10211111100 has 360 divisors, whose sum is σ = 35675911040. Its totient is φ = 2518024320.

The previous prime is 10211111089. The next prime is 10211111107. The reversal of 10211111100 is 111111201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6616929 + ... + 6618471.

Almost surely, 2^10211111100 is an apocalyptic number.

10211111100 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 10211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837955520).

10211111100 is an abundant number, since it is smaller than the sum of its proper divisors (25464799940).

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

10211111100 is a wasteful number, since it uses less digits than its factorization.

10211111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10211111100 its reverse (111111201), we get a palindrome (10322222301).

The spelling of 10211111100 in words is "ten billion, two hundred eleven million, one hundred eleven thousand, one hundred".