20101214320 has 160 divisors (see below), whose sum is σ = 54500511744. Its totient is φ = 6820915200.

The previous prime is 20101214303. The next prime is 20101214323. The reversal of 20101214320 is 2341210102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20101214294 and 20101214303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101214323) 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, 817729 + ... + 841951.

Almost surely, 2^20101214320 is an apocalyptic number.

20101214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250255872).

20101214320 is an abundant number, since it is smaller than the sum of its proper divisors (34399297424).

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

20101214320 is a wasteful number, since it uses less digits than its factorization.

20101214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311 (or 24305 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20101214320 its reverse (2341210102), we get a palindrome (22442424422).

The spelling of 20101214320 in words is "twenty billion, one hundred one million, two hundred fourteen thousand, three hundred twenty".