2000212120100 has 36 divisors (see below), whose sum is σ = 4340560402500. Its totient is φ = 800066396160.

The previous prime is 2000212120079. The next prime is 2000212120129. The reversal of 2000212120100 is 10212120002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 498783412516 + 1501428707584 = 706246^2 + 1225328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4638476 + ... + 5051324.

Almost surely, 2^{2000212120100} is an apocalyptic number.

2000212120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000212120100 is an abundant number, since it is smaller than the sum of its proper divisors (2340348282400).

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

2000212120100 is a wasteful number, since it uses less digits than its factorization.

2000212120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461312 (or 461305 counting only the distinct ones).

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

Adding to 2000212120100 its reverse (10212120002), we get a palindrome (2010424240102).

The spelling of 2000212120100 in words is "two trillion, two hundred twelve million, one hundred twenty thousand, one hundred".