2102011212200 has 288 divisors, whose sum is σ = 5097781143000. Its totient is φ = 805735680000.

The previous prime is 2102011212167. The next prime is 2102011212209. The reversal of 2102011212200 is 22121102012.

It can be written as a sum of positive squares in 12 ways, for example, as 1187078116 + 2100824134084 = 34454^2 + 1449422^2 .

It is a super-2 number, since 2×2102011212200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102011212209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14107457726 + ... + 14107457874.

Almost surely, 2^{2102011212200} is an apocalyptic number.

2102011212200 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 2102011212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548890571500).

2102011212200 is an abundant number, since it is smaller than the sum of its proper divisors (2995769930800).

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

2102011212200 is a wasteful number, since it uses less digits than its factorization.

2102011212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102011212200 its reverse (22121102012), we get a palindrome (2124132314212).

The spelling of 2102011212200 in words is "two trillion, one hundred two billion, eleven million, two hundred twelve thousand, two hundred".