10100000214 has 64 divisors (see below), whose sum is σ = 22839252480. Its totient is φ = 3307577760.

The previous prime is 10100000159. The next prime is 10100000219. The reversal of 10100000214 is 41200000101.

It is a happy number.

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 = 10100000196 and 10100000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000219) 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, 4501777 + ... + 4504019.

It is an arithmetic number, because the mean of its divisors is an integer number (356863320).

Almost surely, 2^10100000214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100000214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419626240).

10100000214 is an abundant number, since it is smaller than the sum of its proper divisors (12739252266).

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

10100000214 is a wasteful number, since it uses less digits than its factorization.

10100000214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100000214 its reverse (41200000101), we get a palindrome (51300000315).

The spelling of 10100000214 in words is "ten billion, one hundred million, two hundred fourteen", and thus it is an aban number.