2121010101100 has 108 divisors (see below), whose sum is σ = 5070743554072. Its totient is φ = 769493260800.

The previous prime is 2121010101079. The next prime is 2121010101143. The reversal of 2121010101100 is 11010101212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5036887 + ... + 5441713.

Almost surely, 2^{2121010101100} is an apocalyptic number.

2121010101100 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 2121010101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535371777036).

2121010101100 is an abundant number, since it is smaller than the sum of its proper divisors (2949733452972).

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

2121010101100 is a wasteful number, since it uses less digits than its factorization.

2121010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405296 (or 405278 counting only the distinct ones).

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

Adding to 2121010101100 its reverse (11010101212), we get a palindrome (2132020202312).

The spelling of 2121010101100 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred one thousand, one hundred".