221102110020012 has 288 divisors, whose sum is σ = 609637926288384. Its totient is φ = 61940312755200.

The previous prime is 221102110019981. The next prime is 221102110020017. The reversal of 221102110020012 is 210020011201122.

It is a super-2 number, since 2×221102110020012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102110019973 and 221102110020000.

It is not an unprimeable number, because it can be changed into a prime (221102110020017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153985437 + ... + 155414667.

It is an arithmetic number, because the mean of its divisors is an integer number (2116798355168).

Almost surely, 2^{221102110020012} 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 221102110020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304818963144192).

221102110020012 is an abundant number, since it is smaller than the sum of its proper divisors (388535816268372).

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

221102110020012 is a wasteful number, since it uses less digits than its factorization.

221102110020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429397 (or 1429376 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221102110020012 its reverse (210020011201122), we get a palindrome (431122121221134).

The spelling of 221102110020012 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred ten million, twenty thousand, twelve".