20101667200 has 96 divisors (see below), whose sum is σ = 49877957160. Its totient is φ = 8004956160.

The previous prime is 20101667191. The next prime is 20101667207. The reversal of 20101667200 is 276610102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101667207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712564 + ... + 740236.

Almost surely, 2^20101667200 is an apocalyptic number.

20101667200 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 20101667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24938978580).

20101667200 is an abundant number, since it is smaller than the sum of its proper divisors (29776289960).

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

20101667200 is a wasteful number, since it uses less digits than its factorization.

20101667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27924 (or 27907 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 20101667200 in words is "twenty billion, one hundred one million, six hundred sixty-seven thousand, two hundred".