2101121200100 has 72 divisors (see below), whose sum is σ = 4960779109608. Its totient is φ = 767800627200.

The previous prime is 2101121200067. The next prime is 2101121200109. The reversal of 2101121200100 is 10021211012.

It can be written as a sum of positive squares in 12 ways, for example, as 868892436736 + 1232228763364 = 932144^2 + 1110058^2 .

It is not an unprimeable number, because it can be changed into a prime (2101121200109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8205071 + ... + 8457270.

Almost surely, 2^{2101121200100} is an apocalyptic number.

2101121200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121200100 is an abundant number, since it is smaller than the sum of its proper divisors (2859657909508).

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

2101121200100 is a wasteful number, since it uses less digits than its factorization.

2101121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16662465 (or 16662458 counting only the distinct ones).

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

Adding to 2101121200100 its reverse (10021211012), we get a palindrome (2111142411112).

The spelling of 2101121200100 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred".