21101002112019 has 16 divisors (see below), whose sum is σ = 28452018972960. Its totient is φ = 13908673658880.

The previous prime is 21101002112017. The next prime is 21101002112027. The reversal of 21101002112019 is 91021120010112.

It is not a de Polignac number, because 21101002112019 - 2¹ = 21101002112017 is a prime.

It is a super-3 number, since 3×21101002112019³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21101002111986 and 21101002112004.

It is not an unprimeable number, because it can be changed into a prime (21101002112017) 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 15 ways as a sum of consecutive naturals, for example, 4524159 + ... + 7916439.

It is an arithmetic number, because the mean of its divisors is an integer number (1778251185810).

Almost surely, 2^{21101002112019} is an apocalyptic number.

21101002112019 is a deficient number, since it is larger than the sum of its proper divisors (7351016860941).

21101002112019 is a wasteful number, since it uses less digits than its factorization.

21101002112019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415670.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 21101002112019 in words is "twenty-one trillion, one hundred one billion, two million, one hundred twelve thousand, nineteen".