10021111100 has 432 divisors, whose sum is σ = 31031347200. Its totient is φ = 2725747200.

The previous prime is 10021111019. The next prime is 10021111103. The reversal of 10021111100 is 111112001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021111103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20920661 + ... + 20921139.

Almost surely, 2^10021111100 is an apocalyptic number.

10021111100 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 10021111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515673600).

10021111100 is an abundant number, since it is smaller than the sum of its proper divisors (21010236100).

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

10021111100 is a wasteful number, since it uses less digits than its factorization.

10021111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10021111100 its reverse (111112001), we get a palindrome (10132223101).

Subtracting from 10021111100 its reverse (111112001), we obtain a palindrome (9909999099).

It can be divided in two parts, 10021 and 111100, that added together give a palindrome (121121).

The spelling of 10021111100 in words is "ten billion, twenty-one million, one hundred eleven thousand, one hundred".