2101101021100 has 18 divisors (see below), whose sum is σ = 4559389216004. Its totient is φ = 840440408400.

The previous prime is 2101101021077. The next prime is 2101101021101. The reversal of 2101101021100 is 11201011012.

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

It is not an unprimeable number, because it can be changed into a prime (2101101021101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10505505006 + ... + 10505505205.

Almost surely, 2^{2101101021100} is an apocalyptic number.

2101101021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101101021100 is an abundant number, since it is smaller than the sum of its proper divisors (2458288194904).

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

2101101021100 is a wasteful number, since it uses less digits than its factorization.

2101101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21011010225 (or 21011010218 counting only the distinct ones).

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

Adding to 2101101021100 its reverse (11201011012), we get a palindrome (2112302032112).

The spelling of 2101101021100 in words is "two trillion, one hundred one billion, one hundred one million, twenty-one thousand, one hundred".