21162107260601 has 32 divisors (see below), whose sum is σ = 22619099328000. Its totient is φ = 19741773123072.

The previous prime is 21162107260573. The next prime is 21162107260607. The reversal of 21162107260601 is 10606270126112.

It is a de Polignac number, because none of the positive numbers 2^k-21162107260601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21162107260607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292634090 + ... + 292706396.

It is an arithmetic number, because the mean of its divisors is an integer number (706846854000).

Almost surely, 2^{21162107260601} is an apocalyptic number.

It is an amenable number.

21162107260601 is a deficient number, since it is larger than the sum of its proper divisors (1456992067399).

21162107260601 is a wasteful number, since it uses less digits than its factorization.

21162107260601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73221.

The product of its (nonzero) digits is 12096, while the sum is 35.

Adding to 21162107260601 its reverse (10606270126112), we get a palindrome (31768377386713).

The spelling of 21162107260601 in words is "twenty-one trillion, one hundred sixty-two billion, one hundred seven million, two hundred sixty thousand, six hundred one".