21145415111001 has 24 divisors (see below), whose sum is σ = 31670031783936. Its totient is φ = 13581027457920.

The previous prime is 21145415110987. The next prime is 21145415111017. The reversal of 21145415111001 is 10011151454112.

21145415111001 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 5 + 41 + 511 + 100 + 1 = 666.

It is not a de Polignac number, because 21145415111001 - 2⁵ = 21145415110969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21145415111081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169870560 + ... + 169994993.

It is an arithmetic number, because the mean of its divisors is an integer number (1319584657664).

Almost surely, 2^{21145415111001} is an apocalyptic number.

It is an amenable number.

21145415111001 is a deficient number, since it is larger than the sum of its proper divisors (10524616672935).

21145415111001 is a wasteful number, since it uses less digits than its factorization.

21145415111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339865813 (or 339865810 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

Adding to 21145415111001 its reverse (10011151454112), we get a palindrome (31156566565113).

The spelling of 21145415111001 in words is "twenty-one trillion, one hundred forty-five billion, four hundred fifteen million, one hundred eleven thousand, one".