21000010100001 has 16 divisors (see below), whose sum is σ = 28651321490880. Its totient is φ = 13674356015040.

The previous prime is 21000010099973. The next prime is 21000010100021. The reversal of 21000010100001 is 10000101000012.

It is a de Polignac number, because none of the positive numbers 2^k-21000010100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21000010100021) by changing a digit.

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, 42295971 + ... + 42789591.

It is an arithmetic number, because the mean of its divisors is an integer number (1790707593180).

Almost surely, 2^{21000010100001} is an apocalyptic number.

It is an amenable number.

21000010100001 is a deficient number, since it is larger than the sum of its proper divisors (7651311390879).

21000010100001 is a wasteful number, since it uses less digits than its factorization.

21000010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823456.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21000010100001 its reverse (10000101000012), we get a palindrome (31000111100013).

It can be divided in two parts, 2 and 1000010100001, that multiplied together give a palindrome (2000020200002).

The spelling of 21000010100001 in words is "twenty-one trillion, ten million, one hundred thousand, one".