21001000212112 has 80 divisors (see below), whose sum is σ = 42526434384000. Its totient is φ = 10027909343232.

The previous prime is 21001000212107. The next prime is 21001000212167. The reversal of 21001000212112 is 21121200010012.

It is a junction number, because it is equal to n+sod(n) for n = 21001000212092 and 21001000212101.

It is an unprimeable number.

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, 621149064 + ... + 621182872.

It is an arithmetic number, because the mean of its divisors is an integer number (531580429800).

Almost surely, 2^{21001000212112} is an apocalyptic number.

It is an amenable number.

21001000212112 is an abundant number, since it is smaller than the sum of its proper divisors (21525434171888).

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

21001000212112 is a wasteful number, since it uses less digits than its factorization.

21001000212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36488 (or 36482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21001000212112 its reverse (21121200010012), we get a palindrome (42122200222124).

The spelling of 21001000212112 in words is "twenty-one trillion, one billion, two hundred twelve thousand, one hundred twelve".