21110003020100 has 36 divisors (see below), whose sum is σ = 45809665824468. Its totient is φ = 8443824384000.

The previous prime is 21110003020037. The next prime is 21110003020133. The reversal of 21110003020100 is 102030001112.

It can be written as a sum of positive squares in 6 ways, for example, as 65177068804 + 21044825951296 = 255298^2 + 4587464^2 .

It is a super-2 number, since 2×21110003020100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2641940 + ... + 7014260.

Almost surely, 2^{21110003020100} is an apocalyptic number.

21110003020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110003020100 is an abundant number, since it is smaller than the sum of its proper divisors (24699662804368).

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

21110003020100 is a wasteful number, since it uses less digits than its factorization.

21110003020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420616 (or 4420609 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21110003020100 its reverse (102030001112), we get a palindrome (21212033021212).

The spelling of 21110003020100 in words is "twenty-one trillion, one hundred ten billion, three million, twenty thousand, one hundred".