2101100121100 has 144 divisors (see below), whose sum is σ = 4915707596800. Its totient is φ = 777121931520.

The previous prime is 2101100121089. The next prime is 2101100121173. The reversal of 2101100121100 is 11210011012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13799989 + ... + 13951411.

Almost surely, 2^{2101100121100} is an apocalyptic number.

2101100121100 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 2101100121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457853798400).

2101100121100 is an abundant number, since it is smaller than the sum of its proper divisors (2814607475700).

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

2101100121100 is a wasteful number, since it uses less digits than its factorization.

2101100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151632 (or 151625 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101100121100 its reverse (11210011012), we get a palindrome (2112310132112).

The spelling of 2101100121100 in words is "two trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred".