21111301013100 has 288 divisors, whose sum is σ = 64623495831552. Its totient is φ = 5313154560000.

The previous prime is 21111301013051. The next prime is 21111301013137. The reversal of 21111301013100 is 131010311112.

It is a super-2 number, since 2×21111301013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21111301013100.

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, 122739160 + ... + 122911040.

It is an arithmetic number, because the mean of its divisors is an integer number (224387138304).

Almost surely, 2^{21111301013100} is an apocalyptic number.

21111301013100 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 21111301013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32311747915776).

21111301013100 is an abundant number, since it is smaller than the sum of its proper divisors (43512194818452).

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

21111301013100 is a wasteful number, since it uses less digits than its factorization.

21111301013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172257 (or 172250 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21111301013100 its reverse (131010311112), we get a palindrome (21242311324212).

The spelling of 21111301013100 in words is "twenty-one trillion, one hundred eleven billion, three hundred one million, thirteen thousand, one hundred".