20101212200 has 96 divisors (see below), whose sum is σ = 48712834560. Its totient is φ = 7705324800.

The previous prime is 20101212191. The next prime is 20101212211. The reversal of 20101212200 is 221210102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622862 + ... + 654338.

It is an arithmetic number, because the mean of its divisors is an integer number (507425360).

Almost surely, 2^20101212200 is an apocalyptic number.

20101212200 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 20101212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24356417280).

20101212200 is an abundant number, since it is smaller than the sum of its proper divisors (28611622360).

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

20101212200 is a wasteful number, since it uses less digits than its factorization.

20101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31627 (or 31618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20101212200 its reverse (221210102), we get a palindrome (20322422302).

The spelling of 20101212200 in words is "twenty billion, one hundred one million, two hundred twelve thousand, two hundred".