21100221000100 has 72 divisors (see below), whose sum is σ = 49955495831136. Its totient is φ = 7671960000000.

The previous prime is 21100221000077. The next prime is 21100221000101. The reversal of 21100221000100 is 100012200112.

It is a super-2 number, since 2×21100221000100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21100221000101) 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, 8945100 + ... + 11055100.

It is an arithmetic number, because the mean of its divisors is an integer number (693826330988).

Almost surely, 2^{21100221000100} is an apocalyptic number.

21100221000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100221000100 is an abundant number, since it is smaller than the sum of its proper divisors (28855274831036).

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

21100221000100 is a wasteful number, since it uses less digits than its factorization.

21100221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119117 (or 2119110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21100221000100 its reverse (100012200112), we get a palindrome (21200233200212).

The spelling of 21100221000100 in words is "twenty-one trillion, one hundred billion, two hundred twenty-one million, one hundred", and thus it is an aban number.