21112122110010 has 128 divisors (see below), whose sum is σ = 52999289107200. Its totient is φ = 5375485839360.

The previous prime is 21112122109951. The next prime is 21112122110017. The reversal of 21112122110010 is 1001122121112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21112122110017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52768920 + ... + 53167500.

It is an arithmetic number, because the mean of its divisors is an integer number (414056946150).

Almost surely, 2^{21112122110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112122110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26499644553600).

21112122110010 is an abundant number, since it is smaller than the sum of its proper divisors (31887166997190).

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

21112122110010 is a wasteful number, since it uses less digits than its factorization.

21112122110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399296.

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

Adding to 21112122110010 its reverse (1001122121112), we get a palindrome (22113244231122).

The spelling of 21112122110010 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, ten".