21142102401 has 24 divisors (see below), whose sum is σ = 35844529344. Its totient is φ = 11754681120.

The previous prime is 21142102391. The next prime is 21142102417. The reversal of 21142102401 is 10420124112.

21142102401 is a `hidden beast` number, since 2 + 1 + 1 + 421 + 0 + 240 + 1 = 666.

It is not a de Polignac number, because 21142102401 - 2²⁵ = 21108547969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21142102451) 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, 4532655 + ... + 4537316.

It is an arithmetic number, because the mean of its divisors is an integer number (1493522056).

Almost surely, 2^21142102401 is an apocalyptic number.

21142102401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21142102401 is a deficient number, since it is larger than the sum of its proper divisors (14702426943).

21142102401 is a wasteful number, since it uses less digits than its factorization.

21142102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070021 (or 9070018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21142102401 its reverse (10420124112), we get a palindrome (31562226513).

The spelling of 21142102401 in words is "twenty-one billion, one hundred forty-two million, one hundred two thousand, four hundred one".