21312102033100 has 72 divisors (see below), whose sum is σ = 47193368681088. Its totient is φ = 8350945075200.

The previous prime is 21312102033059. The next prime is 21312102033109. The reversal of 21312102033100 is 133020121312.

It is a super-2 number, since 2×21312102033100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21312102033109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260677 + ... + 6533923.

It is an arithmetic number, because the mean of its divisors is an integer number (655463453904).

Almost surely, 2^{21312102033100} is an apocalyptic number.

21312102033100 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 21312102033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23596684340544).

21312102033100 is an abundant number, since it is smaller than the sum of its proper divisors (25881266647988).

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

21312102033100 is a wasteful number, since it uses less digits than its factorization.

21312102033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273955 (or 6273948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21312102033100 its reverse (133020121312), we get a palindrome (21445122154412).

The spelling of 21312102033100 in words is "twenty-one trillion, three hundred twelve billion, one hundred two million, thirty-three thousand, one hundred".