21101001211122 has 96 divisors (see below), whose sum is σ = 50787905670720. Its totient is φ = 5820627899520.

The previous prime is 21101001211099. The next prime is 21101001211127. The reversal of 21101001211122 is 22111210010112.

It is a happy number.

It is a super-2 number, since 2×21101001211122² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21101001211127) 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, 170551948 + ... + 170675624.

It is an arithmetic number, because the mean of its divisors is an integer number (529040684070).

Almost surely, 2^{21101001211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101001211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25393952835360).

21101001211122 is an abundant number, since it is smaller than the sum of its proper divisors (29686904459598).

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

21101001211122 is a wasteful number, since it uses less digits than its factorization.

21101001211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143736 (or 143729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21101001211122 its reverse (22111210010112), we get a palindrome (43212211221234).

The spelling of 21101001211122 in words is "twenty-one trillion, one hundred one billion, one million, two hundred eleven thousand, one hundred twenty-two".