102410014201 has 8 divisors (see below), whose sum is σ = 111723696000. Its totient is φ = 93096945840.

The previous prime is 102410014181. The next prime is 102410014253.

It is a happy number.

102410014201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102410014201 - 2¹¹ = 102410012153 is a prime.

It is a super-2 number, since 2×102410014201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102410014601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239475 + ... + 512023.

It is an arithmetic number, because the mean of its divisors is an integer number (13965462000).

Almost surely, 2^102410014201 is an apocalyptic number.

102410014201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102410014201 is a deficient number, since it is larger than the sum of its proper divisors (9313681799).

102410014201 is a wasteful number, since it uses less digits than its factorization.

102410014201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306719.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1024100 and 14201, that added together give a palindrome (1038301).

The spelling of 102410014201 in words is "one hundred two billion, four hundred ten million, fourteen thousand, two hundred one".