2101212112100 has 36 divisors (see below), whose sum is σ = 4592433409200. Its totient is φ = 834438185760.

The previous prime is 2101212112093. The next prime is 2101212112133. The reversal of 2101212112100 is 12112121012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75569270 + ... + 75597069.

It is an arithmetic number, because the mean of its divisors is an integer number (127567594700).

Almost surely, 2^{2101212112100} is an apocalyptic number.

2101212112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101212112100 is an abundant number, since it is smaller than the sum of its proper divisors (2491221297100).

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

2101212112100 is a wasteful number, since it uses less digits than its factorization.

2101212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151166492 (or 151166485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101212112100 its reverse (12112121012), we get a palindrome (2113324233112).

The spelling of 2101212112100 in words is "two trillion, one hundred one billion, two hundred twelve million, one hundred twelve thousand, one hundred".