21900010010001 has 64 divisors (see below), whose sum is σ = 30389392097280. Its totient is φ = 14020310304000.

The previous prime is 21900010009993. The next prime is 21900010010033. The reversal of 21900010010001 is 10001001000912.

It is not a de Polignac number, because 21900010010001 - 2³ = 21900010009993 is a prime.

It is a super-2 number, since 2×21900010010001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21900010010401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851064156 + ... + 1851075986.

It is an arithmetic number, because the mean of its divisors is an integer number (474834251520).

Almost surely, 2^{21900010010001} is an apocalyptic number.

It is an amenable number.

21900010010001 is a deficient number, since it is larger than the sum of its proper divisors (8489382087279).

21900010010001 is a wasteful number, since it uses less digits than its factorization.

21900010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21900010010001 its reverse (10001001000912), we get a palindrome (31901011010913).

The spelling of 21900010010001 in words is "twenty-one trillion, nine hundred billion, ten million, ten thousand, one".