10201001113114 has 24 divisors (see below), whose sum is σ = 17803124020980. Its totient is φ = 4371018111936.

The previous prime is 10201001113097. The next prime is 10201001113133. The reversal of 10201001113114 is 41131110010201.

It can be written as a sum of positive squares in 2 ways, for example, as 7831966059225 + 2369035053889 = 2798565^2 + 1539167^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9481057 + ... + 10502020.

Almost surely, 2^{10201001113114} is an apocalyptic number.

10201001113114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10201001113114 is a deficient number, since it is larger than the sum of its proper divisors (7602122907866).

10201001113114 is a wasteful number, since it uses less digits than its factorization.

10201001113114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19988302 (or 19988295 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10201001113114 its reverse (41131110010201), we get a palindrome (51332111123315).

The spelling of 10201001113114 in words is "ten trillion, two hundred one billion, one million, one hundred thirteen thousand, one hundred fourteen".