21200101110 has 128 divisors (see below), whose sum is σ = 57343426560. Its totient is φ = 5572965888.

The previous prime is 21200101093. The next prime is 21200101129. The reversal of 21200101110 is 1110100212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21200101092 and 21200101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5587374 + ... + 5591166.

It is an arithmetic number, because the mean of its divisors is an integer number (447995520).

Almost surely, 2^21200101110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28671713280).

21200101110 is an abundant number, since it is smaller than the sum of its proper divisors (36143325450).

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

21200101110 is a wasteful number, since it uses less digits than its factorization.

21200101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21200101110 its reverse (1110100212), we get a palindrome (22310201322).

The spelling of 21200101110 in words is "twenty-one billion, two hundred million, one hundred one thousand, one hundred ten".