21110212400 has 120 divisors (see below), whose sum is σ = 53958827664. Its totient is φ = 7909171200.

The previous prime is 21110212393. The next prime is 21110212433. The reversal of 21110212400 is 421201112.

It is a happy number.

It is a super-2 number, since 2×21110212400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427444 + ... + 1442156.

Almost surely, 2^21110212400 is an apocalyptic number.

21110212400 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 21110212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26979413832).

21110212400 is an abundant number, since it is smaller than the sum of its proper divisors (32848615264).

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

21110212400 is a wasteful number, since it uses less digits than its factorization.

21110212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14959 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21110212400 its reverse (421201112), we get a palindrome (21531413512).

It can be divided in two parts, 211 and 10212400, that multiplied together give a square (2154816400 = 46420²).

The spelling of 21110212400 in words is "twenty-one billion, one hundred ten million, two hundred twelve thousand, four hundred".