21111002100012 has 24 divisors (see below), whose sum is σ = 53737096254912. Its totient is φ = 6397273363600.

The previous prime is 21111002100007. The next prime is 21111002100017. The reversal of 21111002100012 is 21000120011112.

It is an interprime number because it is at equal distance from previous prime (21111002100007) and next prime (21111002100017).

It is a super-2 number, since 2×21111002100012² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21111002100017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79965916914 + ... + 79965917177.

It is an arithmetic number, because the mean of its divisors is an integer number (2239045677288).

Almost surely, 2^{21111002100012} is an apocalyptic number.

21111002100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21111002100012 is an abundant number, since it is smaller than the sum of its proper divisors (32626094154900).

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

21111002100012 is a wasteful number, since it uses less digits than its factorization.

21111002100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159931834109 (or 159931834107 counting only the distinct ones).

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

Adding to 21111002100012 its reverse (21000120011112), we get a palindrome (42111122111124).

The spelling of 21111002100012 in words is "twenty-one trillion, one hundred eleven billion, two million, one hundred thousand, twelve".