21010679100 has 432 divisors, whose sum is σ = 72971642016. Its totient is φ = 5225472000.

The previous prime is 21010679099. The next prime is 21010679111. The reversal of 21010679100 is 197601012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74770960 + ... + 74771240.

It is an arithmetic number, because the mean of its divisors is an integer number (168915838).

Almost surely, 2^21010679100 is an apocalyptic number.

21010679100 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 21010679100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36485821008).

21010679100 is an abundant number, since it is smaller than the sum of its proper divisors (51960962916).

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

21010679100 is a wasteful number, since it uses less digits than its factorization.

21010679100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 21010679100 in words is "twenty-one billion, ten million, six hundred seventy-nine thousand, one hundred".