101000100114 has 24 divisors (see below), whose sum is σ = 218857929420. Its totient is φ = 33662949408.

The previous prime is 101000100101. The next prime is 101000100121. The reversal of 101000100114 is 411001000101.

It can be written as a sum of positive squares in 2 ways, for example, as 100763709489 + 236390625 = 317433^2 + 15375^2 .

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 = 101000100096 and 101000100105.

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, 144037 + ... + 471960.

Almost surely, 2^101000100114 is an apocalyptic number.

101000100114 is an abundant number, since it is smaller than the sum of its proper divisors (117857829306).

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

101000100114 is a wasteful number, since it uses less digits than its factorization.

101000100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625114 (or 625111 counting only the distinct ones).

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

Adding to 101000100114 its reverse (411001000101), we get a palindrome (512001100215).

The spelling of 101000100114 in words is "one hundred one billion, one hundred thousand, one hundred fourteen".