21461012100 has 288 divisors, whose sum is σ = 77863766400. Its totient is φ = 5023065600.

The previous prime is 21461012047. The next prime is 21461012101. The reversal of 21461012100 is 121016412.

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

It is not an unprimeable number, because it can be changed into a prime (21461012101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 848842 + ... + 873758.

It is an arithmetic number, because the mean of its divisors is an integer number (270360300).

Almost surely, 2^21461012100 is an apocalyptic number.

21461012100 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 21461012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38931883200).

21461012100 is an abundant number, since it is smaller than the sum of its proper divisors (56402754300).

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

21461012100 is a wasteful number, since it uses less digits than its factorization.

21461012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980 (or 24967 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21461012100 its reverse (121016412), we get a palindrome (21582028512).

The spelling of 21461012100 in words is "twenty-one billion, four hundred sixty-one million, twelve thousand, one hundred".