10114331400201 has 128 divisors (see below), whose sum is σ = 16233022181376. Its totient is φ = 5481136926720.

The previous prime is 10114331400167. The next prime is 10114331400209. The reversal of 10114331400201 is 10200413341101.

It is not a de Polignac number, because 10114331400201 - 2¹⁰ = 10114331399177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10114331400209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11454508506 + ... + 11454509388.

It is an arithmetic number, because the mean of its divisors is an integer number (126820485792).

Almost surely, 2^{10114331400201} is an apocalyptic number.

It is an amenable number.

10114331400201 is a deficient number, since it is larger than the sum of its proper divisors (6118690781175).

10114331400201 is a wasteful number, since it uses less digits than its factorization.

10114331400201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10114331400201 its reverse (10200413341101), we get a palindrome (20314744741302).

The spelling of 10114331400201 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-one million, four hundred thousand, two hundred one".