102414414201 has 16 divisors (see below), whose sum is σ = 150441340608. Its totient is φ = 61454792000.

The previous prime is 102414414119. The next prime is 102414414227.

102414414201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102414414201 - 2⁷ = 102414414073 is a prime.

It is a super-2 number, since 2×102414414201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102414414241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15360366 + ... + 15367031.

It is an arithmetic number, because the mean of its divisors is an integer number (9402583788).

Almost surely, 2^102414414201 is an apocalyptic number.

102414414201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102414414201 is a deficient number, since it is larger than the sum of its proper divisors (48026926407).

102414414201 is a wasteful number, since it uses less digits than its factorization.

102414414201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30727512.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 102414 and 414201, that added together give a palindrome (516615).

The spelling of 102414414201 in words is "one hundred two billion, four hundred fourteen million, four hundred fourteen thousand, two hundred one".