2100121120100 has 36 divisors (see below), whose sum is σ = 4580396187444. Its totient is φ = 835784234880.

The previous prime is 2100121120099. The next prime is 2100121120103. The reversal of 2100121120100 is 10211210012.

It can be written as a sum of positive squares in 6 ways, for example, as 578682746944 + 1521438373156 = 760712^2 + 1233466^2 .

It is not an unprimeable number, because it can be changed into a prime (2100121120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53282867 + ... + 53322266.

It is an arithmetic number, because the mean of its divisors is an integer number (127233227429).

Almost surely, 2^{2100121120100} is an apocalyptic number.

2100121120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100121120100 is an abundant number, since it is smaller than the sum of its proper divisors (2480275067344).

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

2100121120100 is a wasteful number, since it uses less digits than its factorization.

2100121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106605344 (or 106605337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100121120100 its reverse (10211210012), we get a palindrome (2110332330112).

The spelling of 2100121120100 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".