114136016141100 has 72 divisors (see below), whose sum is σ = 330234631630848. Its totient is φ = 30436170363200.

The previous prime is 114136016141041. The next prime is 114136016141137. The reversal of 114136016141100 is 1141610631411.

It is a super-2 number, since 2×114136016141100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151601797 + ... + 152352803.

It is an arithmetic number, because the mean of its divisors is an integer number (4586592105984).

Almost surely, 2^{114136016141100} is an apocalyptic number.

114136016141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114136016141100 is an abundant number, since it is smaller than the sum of its proper divisors (216098615489748).

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

114136016141100 is a wasteful number, since it uses less digits than its factorization.

114136016141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257615 (or 1257608 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 114136016141100 its reverse (1141610631411), we get a palindrome (115277626772511).

The spelling of 114136016141100 in words is "one hundred fourteen trillion, one hundred thirty-six billion, sixteen million, one hundred forty-one thousand, one hundred".