21120101111100 has 288 divisors, whose sum is σ = 63947918071296. Its totient is φ = 5371671219200.

The previous prime is 21120101111089. The next prime is 21120101111251. The reversal of 21120101111100 is 111110102112.

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

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, 3835134547 + ... + 3835140053.

It is an arithmetic number, because the mean of its divisors is an integer number (222041382192).

Almost surely, 2^{21120101111100} is an apocalyptic number.

21120101111100 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 21120101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973959035648).

21120101111100 is an abundant number, since it is smaller than the sum of its proper divisors (42827816960196).

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

21120101111100 is a wasteful number, since it uses less digits than its factorization.

21120101111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21120101111100 its reverse (111110102112), we get a palindrome (21231211213212).

The spelling of 21120101111100 in words is "twenty-one trillion, one hundred twenty billion, one hundred one million, one hundred eleven thousand, one hundred".