10021211100 has 108 divisors (see below), whose sum is σ = 31500910896. Its totient is φ = 2664668160.

The previous prime is 10021211099. The next prime is 10021211107. The reversal of 10021211100 is 111212001.

It is a happy number.

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 (10021211107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 301929 + ... + 333471.

Almost surely, 2^10021211100 is an apocalyptic number.

10021211100 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 10021211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750455448).

10021211100 is an abundant number, since it is smaller than the sum of its proper divisors (21479699796).

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

10021211100 is a wasteful number, since it uses less digits than its factorization.

10021211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31916 (or 31906 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021211100 its reverse (111212001), we get a palindrome (10132423101).

Subtracting from 10021211100 its reverse (111212001), we obtain a palindrome (9909999099).

The spelling of 10021211100 in words is "ten billion, twenty-one million, two hundred eleven thousand, one hundred".