21120120121100 has 288 divisors, whose sum is σ = 61626503318016. Its totient is φ = 6067469721600.

The previous prime is 21120120121049. The next prime is 21120120121141. The reversal of 21120120121100 is 112102102112.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 67210547 + ... + 67524053.

Almost surely, 2^{21120120121100} is an apocalyptic number.

21120120121100 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 21120120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30813251659008).

21120120121100 is an abundant number, since it is smaller than the sum of its proper divisors (40506383196916).

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

21120120121100 is a wasteful number, since it uses less digits than its factorization.

21120120121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314225 (or 314218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21120120121100 its reverse (112102102112), we get a palindrome (21232222223212).

The spelling of 21120120121100 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".