114101302201 has 16 divisors (see below), whose sum is σ = 116553779920. Its totient is φ = 111675801600.

The previous prime is 114101302193. The next prime is 114101302307. The reversal of 114101302201 is 102203101411.

It can be written as a sum of positive squares in 8 ways, for example, as 6729741225 + 107371560976 = 82035^2 + 327676^2 .

It is a cyclic number.

It is not a de Polignac number, because 114101302201 - 2³ = 114101302193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114101306201) 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, 5752501 + ... + 5772301.

It is an arithmetic number, because the mean of its divisors is an integer number (7284611245).

Almost surely, 2^114101302201 is an apocalyptic number.

It is an amenable number.

114101302201 is a deficient number, since it is larger than the sum of its proper divisors (2452477719).

114101302201 is a wasteful number, since it uses less digits than its factorization.

114101302201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20476.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 114101302201 its reverse (102203101411), we get a palindrome (216304403612).

The spelling of 114101302201 in words is "one hundred fourteen billion, one hundred one million, three hundred two thousand, two hundred one".