101400200401311 has 48 divisors (see below), whose sum is σ = 171913365112320. Its totient is φ = 56396918001600.

The previous prime is 101400200401289. The next prime is 101400200401393. The reversal of 101400200401311 is 113104002004101.

101400200401311 is a `hidden beast` number, since 1 + 0 + 1 + 400 + 200 + 40 + 13 + 11 = 666.

It is not a de Polignac number, because 101400200401311 - 2⁷ = 101400200401183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400200401811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134674675 + ... + 135425508.

It is an arithmetic number, because the mean of its divisors is an integer number (3581528439840).

Almost surely, 2^{101400200401311} is an apocalyptic number.

101400200401311 is a deficient number, since it is larger than the sum of its proper divisors (70513164711009).

101400200401311 is a wasteful number, since it uses less digits than its factorization.

101400200401311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270100356 (or 270100353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101400200401311 its reverse (113104002004101), we get a palindrome (214504202405412).

The spelling of 101400200401311 in words is "one hundred one trillion, four hundred billion, two hundred million, four hundred one thousand, three hundred eleven".