21120211212100 has 1296 divisors, whose sum is σ = 65638281381120. Its totient is φ = 5738768640000.

The previous prime is 21120211212097. The next prime is 21120211212103. The reversal of 21120211212100 is 121211202112.

It is an interprime number because it is at equal distance from previous prime (21120211212097) and next prime (21120211212103).

It is not an unprimeable number, because it can be changed into a prime (21120211212103) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58830671721 + ... + 58830672079.

Almost surely, 2^{21120211212100} is an apocalyptic number.

21120211212100 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 21120211212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32819140690560).

21120211212100 is an abundant number, since it is smaller than the sum of its proper divisors (44518070169020).

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

21120211212100 is a wasteful number, since it uses less digits than its factorization.

21120211212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21120211212100 its reverse (121211202112), we get a palindrome (21241422414212).

The spelling of 21120211212100 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred twelve thousand, one hundred".