21771404100 has 144 divisors (see below), whose sum is σ = 70043850240. Its totient is φ = 5801328000.

The previous prime is 21771404071. The next prime is 21771404111. The reversal of 21771404100 is 140417712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5265634 + ... + 5269766.

Almost surely, 2^21771404100 is an apocalyptic number.

21771404100 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 21771404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35021925120).

21771404100 is an abundant number, since it is smaller than the sum of its proper divisors (48272446140).

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

21771404100 is a wasteful number, since it uses less digits than its factorization.

21771404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 21771404100 in words is "twenty-one billion, seven hundred seventy-one million, four hundred four thousand, one hundred".