21121022010112 has 72 divisors (see below), whose sum is σ = 42395960897136. Its totient is φ = 10501346881536.

The previous prime is 21121022010107. The next prime is 21121022010133. The reversal of 21121022010112 is 21101022012112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96064018 + ... + 96283630.

It is an arithmetic number, because the mean of its divisors is an integer number (588832790238).

Almost surely, 2^{21121022010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197980448568).

21121022010112 is an abundant number, since it is smaller than the sum of its proper divisors (21274938887024).

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

21121022010112 is a wasteful number, since it uses less digits than its factorization.

21121022010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221733 (or 221719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21121022010112 its reverse (21101022012112), we get a palindrome (42222044022224).

It can be divided in two parts, 2112102 and 2010112, that added together give a palindrome (4122214).

The spelling of 21121022010112 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, ten thousand, one hundred twelve".