21121122100 has 72 divisors (see below), whose sum is σ = 49403822328. Its totient is φ = 7791398400.

The previous prime is 21121122073. The next prime is 21121122107. The reversal of 21121122100 is 122112112.

It can be written as a sum of positive squares in 12 ways, for example, as 10303874064 + 10817248036 = 101508^2 + 104006^2 .

It is a super-2 number, since 2×21121122100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121122107) 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, 1528422 + ... + 1542178.

It is an arithmetic number, because the mean of its divisors is an integer number (686164199).

Almost surely, 2^21121122100 is an apocalyptic number.

21121122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701911164).

21121122100 is an abundant number, since it is smaller than the sum of its proper divisors (28282700228).

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

21121122100 is a wasteful number, since it uses less digits than its factorization.

21121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14965 (or 14958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21121122100 its reverse (122112112), we get a palindrome (21243234212).

The spelling of 21121122100 in words is "twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".