10114401400101 has 32 divisors (see below), whose sum is σ = 15229223301120. Its totient is φ = 6633200408832.

The previous prime is 10114401400043. The next prime is 10114401400121. The reversal of 10114401400101 is 10100410441101.

10114401400101 is a `hidden beast` number, since 10 + 114 + 40 + 1 + 400 + 101 = 666.

10114401400101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10114401400101 - 2⁹ = 10114401399589 is a prime.

It is a super-2 number, since 2×10114401400101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114401400121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5944336 + ... + 7454121.

It is an arithmetic number, because the mean of its divisors is an integer number (475913228160).

Almost surely, 2^{10114401400101} is an apocalyptic number.

It is an amenable number.

10114401400101 is a deficient number, since it is larger than the sum of its proper divisors (5114821901019).

10114401400101 is a wasteful number, since it uses less digits than its factorization.

10114401400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398922 (or 13398916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10114401400101 its reverse (10100410441101), we get a palindrome (20214811841202).

The spelling of 10114401400101 in words is "ten trillion, one hundred fourteen billion, four hundred one million, four hundred thousand, one hundred one".