10201414214034 has 12 divisors (see below), whose sum is σ = 22103064130446. Its totient is φ = 3400471404672.

The previous prime is 10201414214027. The next prime is 10201414214083. The reversal of 10201414214034 is 43041241410201.

10201414214034 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 414 + 214 + 0 + 34 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8811974439009 + 1389439775025 = 2968497^2 + 1178745^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201414213989 and 10201414214007.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283372617039 + ... + 283372617074.

Almost surely, 2^{10201414214034} is an apocalyptic number.

10201414214034 is an abundant number, since it is smaller than the sum of its proper divisors (11901649916412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201414214034 is a wasteful number, since it uses less digits than its factorization.

10201414214034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566745234121 (or 566745234118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10201414214034 its reverse (43041241410201), we get a palindrome (53242655624235).

The spelling of 10201414214034 in words is "ten trillion, two hundred one billion, four hundred fourteen million, two hundred fourteen thousand, thirty-four".