21221110010100 has 1152 divisors, whose sum is σ = 83491720187904. Its totient is φ = 4018636800000.

The previous prime is 21221110010099. The next prime is 21221110010117. The reversal of 21221110010100 is 101001112212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13860946335 + ... + 13860947865.

It is an arithmetic number, because the mean of its divisors is an integer number (72475451552).

Almost surely, 2^{21221110010100} is an apocalyptic number.

21221110010100 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 21221110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41745860093952).

21221110010100 is an abundant number, since it is smaller than the sum of its proper divisors (62270610177804).

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

21221110010100 is a wasteful number, since it uses less digits than its factorization.

21221110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21221110010100 its reverse (101001112212), we get a palindrome (21322111122312).

The spelling of 21221110010100 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, ten thousand, one hundred".