21642030101100 has 144 divisors (see below), whose sum is σ = 62680832232480. Its totient is φ = 5765383372800.

The previous prime is 21642030101047. The next prime is 21642030101119. The reversal of 21642030101100 is 110103024612.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2936898216 + ... + 2936905584.

It is an arithmetic number, because the mean of its divisors is an integer number (435283557170).

Almost surely, 2^{21642030101100} is an apocalyptic number.

21642030101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21642030101100 is an abundant number, since it is smaller than the sum of its proper divisors (41038802131380).

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

21642030101100 is a wasteful number, since it uses less digits than its factorization.

21642030101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15940 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21642030101100 its reverse (110103024612), we get a palindrome (21752133125712).

The spelling of 21642030101100 in words is "twenty-one trillion, six hundred forty-two billion, thirty million, one hundred one thousand, one hundred".