102420024201 has 36 divisors (see below), whose sum is σ = 164190708864. Its totient is φ = 61470026640.

The previous prime is 102420024181. The next prime is 102420024257.

102420024201 is a `hidden beast` number, since 1 + 0 + 2 + 420 + 0 + 242 + 0 + 1 = 666.

102420024201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102420024201 - 2⁵ = 102420024169 is a prime.

It is a super-2 number, since 2×102420024201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102420004201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344385 + ... + 568718.

It is an arithmetic number, because the mean of its divisors is an integer number (4560853024).

Almost surely, 2^102420024201 is an apocalyptic number.

102420024201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102420024201 is a deficient number, since it is larger than the sum of its proper divisors (61770684663).

102420024201 is a wasteful number, since it uses less digits than its factorization.

102420024201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913234 (or 913220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 1024200 and 24201, that added together give a palindrome (1048401).

The spelling of 102420024201 in words is "one hundred two billion, four hundred twenty million, twenty-four thousand, two hundred one".