21101825211027 has 32 divisors (see below), whose sum is σ = 32155668873216. Its totient is φ = 12184205220000.

The previous prime is 21101825210969. The next prime is 21101825211043. The reversal of 21101825211027 is 72011252810112.

It is not a de Polignac number, because 21101825211027 - 2¹⁰ = 21101825210003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21101825211067) 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 31 ways as a sum of consecutive naturals, for example, 55192243 + ... + 55573260.

It is an arithmetic number, because the mean of its divisors is an integer number (1004864652288).

Almost surely, 2^{21101825211027} is an apocalyptic number.

21101825211027 is a deficient number, since it is larger than the sum of its proper divisors (11053843662189).

21101825211027 is a wasteful number, since it uses less digits than its factorization.

21101825211027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110765791.

The product of its (nonzero) digits is 4480, while the sum is 33.

The spelling of 21101825211027 in words is "twenty-one trillion, one hundred one billion, eight hundred twenty-five million, two hundred eleven thousand, twenty-seven".