101340002112400 has 60 divisors (see below), whose sum is σ = 244247212741252. Its totient is φ = 40406492805120.

The previous prime is 101340002112389. The next prime is 101340002112463. The reversal of 101340002112400 is 4211200043101.

It can be written as a sum of positive squares in 6 ways, for example, as 31959032045824 + 69380970066576 = 5653232^2 + 8329524^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404587269 + ... + 404837668.

Almost surely, 2^{101340002112400} is an apocalyptic number.

101340002112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101340002112400 is an abundant number, since it is smaller than the sum of its proper divisors (142907210628852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101340002112400 is a wasteful number, since it uses less digits than its factorization.

101340002112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809425268 (or 809425257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101340002112400 its reverse (4211200043101), we get a palindrome (105551202155501).

The spelling of 101340002112400 in words is "one hundred one trillion, three hundred forty billion, two million, one hundred twelve thousand, four hundred".