2021112012100 has 18 divisors (see below), whose sum is σ = 4385813066474. Its totient is φ = 808444804800.

The previous prime is 2021112012091. The next prime is 2021112012103. The reversal of 2021112012100 is 12102111202.

It can be written as a sum of positive squares in 3 ways, for example, as 660916969024 + 1360195043076 = 812968^2 + 1166274^2 .

It is not an unprimeable number, because it can be changed into a prime (2021112012103) 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, 10105559961 + ... + 10105560160.

Almost surely, 2^{2021112012100} is an apocalyptic number.

2021112012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021112012100 is an abundant number, since it is smaller than the sum of its proper divisors (2364701054374).

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

2021112012100 is a wasteful number, since it uses less digits than its factorization.

2021112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211120135 (or 20211120128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2021112012100 its reverse (12102111202), we get a palindrome (2033214123302).

The spelling of 2021112012100 in words is "two trillion, twenty-one billion, one hundred twelve million, twelve thousand, one hundred".