21331210100000 has 288 divisors, whose sum is σ = 53189417159424. Its totient is φ = 8419600000000.

The previous prime is 21331210099973. The next prime is 21331210100023. The reversal of 21331210100000 is 101213312.

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, 3141096605 + ... + 3141103395.

It is an arithmetic number, because the mean of its divisors is an integer number (184685476248).

Almost surely, 2^{21331210100000} is an apocalyptic number.

21331210100000 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 21331210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26594708579712).

21331210100000 is an abundant number, since it is smaller than the sum of its proper divisors (31858207059424).

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

21331210100000 is an equidigital number, since it uses as much as digits as its factorization.

21331210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21331210100000 its reverse (101213312), we get a palindrome (21331311313312).

The spelling of 21331210100000 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred ten million, one hundred thousand".