21102201010100 has 144 divisors (see below), whose sum is σ = 54458156121600. Its totient is φ = 6947007016320.

The previous prime is 21102201010091. The next prime is 21102201010103. The reversal of 21102201010100 is 101010220112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102201010103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4165370 + ... + 7717169.

Almost surely, 2^{21102201010100} is an apocalyptic number.

21102201010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102201010100 is an abundant number, since it is smaller than the sum of its proper divisors (33355955111500).

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

21102201010100 is a wasteful number, since it uses less digits than its factorization.

21102201010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882662 (or 11882655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21102201010100 its reverse (101010220112), we get a palindrome (21203211230212).

The spelling of 21102201010100 in words is "twenty-one trillion, one hundred two billion, two hundred one million, ten thousand, one hundred".