114332012140100 has 36 divisors (see below), whose sum is σ = 248149296509268. Its totient is φ = 45723803904000.

The previous prime is 114332012140091. The next prime is 114332012140189. The reversal of 114332012140100 is 1041210233411.

It can be written as a sum of positive squares in 6 ways, for example, as 29282449078276 + 85049563061824 = 5411326^2 + 9222232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112001261 + ... + 113017460.

Almost surely, 2^{114332012140100} is an apocalyptic number.

114332012140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114332012140100 is an abundant number, since it is smaller than the sum of its proper divisors (133817284369168).

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

114332012140100 is a wasteful number, since it uses less digits than its factorization.

114332012140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225023816 (or 225023809 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 114332012140100 its reverse (1041210233411), we get a palindrome (115373222373511).

The spelling of 114332012140100 in words is "one hundred fourteen trillion, three hundred thirty-two billion, twelve million, one hundred forty thousand, one hundred".