21012002201100 has 72 divisors (see below), whose sum is σ = 60824720593728. Its totient is φ = 5600436142400.

The previous prime is 21012002201063. The next prime is 21012002201101. The reversal of 21012002201100 is 110220021012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21012002201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16668666 + ... + 17884865.

It is an arithmetic number, because the mean of its divisors is an integer number (844787786024).

Almost surely, 2^{21012002201100} is an apocalyptic number.

21012002201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012002201100 is an abundant number, since it is smaller than the sum of its proper divisors (39812718392628).

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

21012002201100 is a wasteful number, since it uses less digits than its factorization.

21012002201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34555575 (or 34555568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21012002201100 its reverse (110220021012), we get a palindrome (21122222222112).

The spelling of 21012002201100 in words is "twenty-one trillion, twelve billion, two million, two hundred one thousand, one hundred".