21210120101100 has 216 divisors, whose sum is σ = 71683428664848. Its totient is φ = 4827910348800.

The previous prime is 21210120101099. The next prime is 21210120101167. The reversal of 21210120101100 is 110102101212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 549204 + ... + 6536196.

Almost surely, 2^{21210120101100} is an apocalyptic number.

21210120101100 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 21210120101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35841714332424).

21210120101100 is an abundant number, since it is smaller than the sum of its proper divisors (50473308563748).

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

21210120101100 is a wasteful number, since it uses less digits than its factorization.

21210120101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987265 (or 5987251 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210120101100 its reverse (110102101212), we get a palindrome (21320222202312).

The spelling of 21210120101100 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, one hundred one thousand, one hundred".