21100201122 has 128 divisors (see below), whose sum is σ = 58192662528. Its totient is φ = 4922208000.

The previous prime is 21100200997. The next prime is 21100201139. The reversal of 21100201122 is 22110200112.

It is a junction number, because it is equal to n+sod(n) for n = 21100201098 and 21100201107.

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, 174747 + ... + 269697.

It is an arithmetic number, because the mean of its divisors is an integer number (454630176).

Almost surely, 2^21100201122 is an apocalyptic number.

21100201122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29096331264).

21100201122 is an abundant number, since it is smaller than the sum of its proper divisors (37092461406).

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

21100201122 is a wasteful number, since it uses less digits than its factorization.

21100201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95024.

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

Adding to 21100201122 its reverse (22110200112), we get a palindrome (43210401234).

It can be divided in two parts, 21100 and 201122, that added together give a palindrome (222222).

The spelling of 21100201122 in words is "twenty-one billion, one hundred million, two hundred one thousand, one hundred twenty-two".