21111122313100 has 72 divisors (see below), whose sum is σ = 48513480407280. Its totient is φ = 7946475909120.

The previous prime is 21111122313079. The next prime is 21111122313121. The reversal of 21111122313100 is 131322111112.

It is an interprime number because it is at equal distance from previous prime (21111122313079) and next prime (21111122313121).

It is a super-2 number, since 2×21111122313100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9959796 + ... + 11892004.

It is an arithmetic number, because the mean of its divisors is an integer number (673798338990).

Almost surely, 2^{21111122313100} is an apocalyptic number.

21111122313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111122313100 is an abundant number, since it is smaller than the sum of its proper divisors (27402358094180).

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

21111122313100 is a wasteful number, since it uses less digits than its factorization.

21111122313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938667 (or 1938660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21111122313100 its reverse (131322111112), we get a palindrome (21242444424212).

The spelling of 21111122313100 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred".