1014114101 has 32 divisors (see below), whose sum is σ = 1367912448. Its totient is φ = 726056640.

The previous prime is 1014114097. The next prime is 1014114103.

1014114101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1014114101 - 2² = 1014114097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014114103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224996 + ... + 229458.

It is an arithmetic number, because the mean of its divisors is an integer number (42747264).

Almost surely, 2^1014114101 is an apocalyptic number.

1014114101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014114101 is a deficient number, since it is larger than the sum of its proper divisors (353798347).

1014114101 is a wasteful number, since it uses less digits than its factorization.

1014114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721.

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 1014114101 is about 31845.1582034067. The cubic root of 1014114101 is about 1004.6827380698.

It can be divided in two parts, 10141 and 14101, that added together give a palindrome (24242).

The spelling of 1014114101 in words is "one billion, fourteen million, one hundred fourteen thousand, one hundred one".