22100020101012 has 384 divisors, whose sum is σ = 61814443622400. Its totient is φ = 6140697937920.

The previous prime is 22100020100957. The next prime is 22100020101023. The reversal of 22100020101012 is 21010102000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16654121493 + ... + 16654122819.

It is an arithmetic number, because the mean of its divisors is an integer number (160975113600).

Almost surely, 2^{22100020101012} 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 22100020101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30907221811200).

22100020101012 is an abundant number, since it is smaller than the sum of its proper divisors (39714423521388).

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

22100020101012 is a wasteful number, since it uses less digits than its factorization.

22100020101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2100 counting only the distinct ones).

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

Adding to 22100020101012 its reverse (21010102000122), we get a palindrome (43110122101134).

The spelling of 22100020101012 in words is "twenty-two trillion, one hundred billion, twenty million, one hundred one thousand, twelve".