114051205132101 has 24 divisors (see below), whose sum is σ = 170756157195000. Its totient is φ = 73268041456512.

The previous prime is 114051205132057. The next prime is 114051205132147. The reversal of 114051205132101 is 101231502150411.

114051205132101 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 120 + 513 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31706742003876 + 82344463128225 = 5630874^2 + 9074385^2 .

It is not a de Polignac number, because 114051205132101 - 2¹³ = 114051205123909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114051205632101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429118426 + ... + 429384123.

It is an arithmetic number, because the mean of its divisors is an integer number (7114839883125).

Almost surely, 2^{114051205132101} is an apocalyptic number.

It is an amenable number.

114051205132101 is a deficient number, since it is larger than the sum of its proper divisors (56704952062899).

114051205132101 is a wasteful number, since it uses less digits than its factorization.

114051205132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858503093 (or 858503090 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 114051205132101 its reverse (101231502150411), we get a palindrome (215282707282512).

The spelling of 114051205132101 in words is "one hundred fourteen trillion, fifty-one billion, two hundred five million, one hundred thirty-two thousand, one hundred one".