114101001 has 32 divisors (see below), whose sum is σ = 193708800. Its totient is φ = 65024640.

The previous prime is 114100969. The next prime is 114101033. The reversal of 114101001 is 100101411.

It is an interprime number because it is at equal distance from previous prime (114100969) and next prime (114101033).

It is not a de Polignac number, because 114101001 - 2⁵ = 114100969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (114121001) 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, 107011 + ... + 108071.

It is an arithmetic number, because the mean of its divisors is an integer number (6053400).

Almost surely, 2^114101001 is an apocalyptic number.

It is an amenable number.

114101001 is a deficient number, since it is larger than the sum of its proper divisors (79607799).

114101001 is a wasteful number, since it uses less digits than its factorization.

114101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 114101001 is about 10681.8070100522. The cubic root of 114101001 is about 485.0239135125.

Adding to 114101001 its reverse (100101411), we get a palindrome (214202412).

The spelling of 114101001 in words is "one hundred fourteen million, one hundred one thousand, one".