21101174100 has 108 divisors (see below), whose sum is σ = 66332046144. Its totient is φ = 5610680640.

The previous prime is 21101174093. The next prime is 21101174117. The reversal of 21101174100 is 147110112.

It is a super-3 number, since 3×21101174100³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 278517 + ... + 346083.

Almost surely, 2^21101174100 is an apocalyptic number.

21101174100 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 21101174100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33166023072).

21101174100 is an abundant number, since it is smaller than the sum of its proper divisors (45230872044).

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

21101174100 is a wasteful number, since it uses less digits than its factorization.

21101174100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67934 (or 67924 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 21101174100 its reverse (147110112), we get a palindrome (21248284212).

The spelling of 21101174100 in words is "twenty-one billion, one hundred one million, one hundred seventy-four thousand, one hundred".