2012100100200 has 288 divisors, whose sum is σ = 6942038103000. Its totient is φ = 521966592000.

The previous prime is 2012100100151. The next prime is 2012100100249. The reversal of 2012100100200 is 20010012102.

It is an interprime number because it is at equal distance from previous prime (2012100100151) and next prime (2012100100249).

It can be written as a sum of positive squares in 12 ways, for example, as 27568617444 + 1984531482756 = 166038^2 + 1408734^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25717140 + ... + 25795260.

Almost surely, 2^{2012100100200} is an apocalyptic number.

2012100100200 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 2012100100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471019051500).

2012100100200 is an abundant number, since it is smaller than the sum of its proper divisors (4929938002800).

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

2012100100200 is a wasteful number, since it uses less digits than its factorization.

2012100100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78533 (or 78521 counting only the distinct ones).

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

Adding to 2012100100200 its reverse (20010012102), we get a palindrome (2032110112302).

The spelling of 2012100100200 in words is "two trillion, twelve billion, one hundred million, one hundred thousand, two hundred".