114213400101 has 12 divisors (see below), whose sum is σ = 166675684812. Its totient is φ = 75357294336.

The previous prime is 114213400073. The next prime is 114213400109. The reversal of 114213400101 is 101004312411.

It can be written as a sum of positive squares in 2 ways, for example, as 69268976100 + 44944424001 = 263190^2 + 212001^2 .

It is not a de Polignac number, because 114213400101 - 2¹⁰ = 114213399077 is a prime.

It is a super-2 number, since 2×114213400101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114213400109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65413446 + ... + 65415191.

It is an arithmetic number, because the mean of its divisors is an integer number (13889640401).

Almost surely, 2^114213400101 is an apocalyptic number.

It is an amenable number.

114213400101 is a deficient number, since it is larger than the sum of its proper divisors (52462284711).

114213400101 is a wasteful number, since it uses less digits than its factorization.

114213400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130828740 (or 130828737 counting only the distinct ones).

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

Adding to 114213400101 its reverse (101004312411), we get a palindrome (215217712512).

The spelling of 114213400101 in words is "one hundred fourteen billion, two hundred thirteen million, four hundred thousand, one hundred one".