21112003310100 has 288 divisors, whose sum is σ = 62451029544960. Its totient is φ = 5505714063360.

The previous prime is 21112003310081. The next prime is 21112003310113. The reversal of 21112003310100 is 101330021112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21112003310100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768058557 + ... + 768086043.

Almost surely, 2^{21112003310100} is an apocalyptic number.

21112003310100 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 21112003310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31225514772480).

21112003310100 is an abundant number, since it is smaller than the sum of its proper divisors (41339026234860).

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

21112003310100 is a wasteful number, since it uses less digits than its factorization.

21112003310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27919 (or 27912 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21112003310100 its reverse (101330021112), we get a palindrome (21213333331212).

The spelling of 21112003310100 in words is "twenty-one trillion, one hundred twelve billion, three million, three hundred ten thousand, one hundred".