21164125101 has 32 divisors (see below), whose sum is σ = 32383834368. Its totient is φ = 12043745280.

The previous prime is 21164125067. The next prime is 21164125109. The reversal of 21164125101 is 10152146112.

It is not a de Polignac number, because 21164125101 - 2¹⁰ = 21164124077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21164125109) 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, 5948215 + ... + 5951771.

It is an arithmetic number, because the mean of its divisors is an integer number (1011994824).

Almost surely, 2^21164125101 is an apocalyptic number.

21164125101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21164125101 is a deficient number, since it is larger than the sum of its proper divisors (11219709267).

21164125101 is a wasteful number, since it uses less digits than its factorization.

21164125101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661.

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 21164125101 in words is "twenty-one billion, one hundred sixty-four million, one hundred twenty-five thousand, one hundred one".