100101114 has 24 divisors (see below), whose sum is σ = 217432020. Its totient is φ = 33283008.

The previous prime is 100101107. The next prime is 100101121. The reversal of 100101114 is 411101001.

It is an interprime number because it is at equal distance from previous prime (100101107) and next prime (100101121).

It can be written as a sum of positive squares in 2 ways, for example, as 100100025 + 1089 = 10005^2 + 33^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100101096 and 100101105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 14160.

Almost surely, 2^100101114 is an apocalyptic number.

100101114 is an abundant number, since it is smaller than the sum of its proper divisors (117330906).

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

100101114 is a wasteful number, since it uses less digits than its factorization.

100101114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14014 (or 14011 counting only the distinct ones).

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

The square root of 100101114 is about 10005.0544226406. The cubic root of 100101114 is about 464.3152738667.

Adding to 100101114 its reverse (411101001), we get a palindrome (511202115).

The spelling of 100101114 in words is "one hundred million, one hundred one thousand, one hundred fourteen".