21001000022112 has 96 divisors (see below), whose sum is σ = 60424248011904. Its totient is φ = 6333778483200.

The previous prime is 21001000022059. The next prime is 21001000022113. The reversal of 21001000022112 is 21122000010012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×21001000022112³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001000022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46903513 + ... + 47349144.

It is an arithmetic number, because the mean of its divisors is an integer number (629419250124).

Almost surely, 2^{21001000022112} is an apocalyptic number.

21001000022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21001000022112 is an abundant number, since it is smaller than the sum of its proper divisors (39423247989792).

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

21001000022112 is a wasteful number, since it uses less digits than its factorization.

21001000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94252892 (or 94252884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21001000022112 its reverse (21122000010012), we get a palindrome (42123000032124).

The spelling of 21001000022112 in words is "twenty-one trillion, one billion, twenty-two thousand, one hundred twelve".