221102101221012 has 144 divisors (see below), whose sum is σ = 611685007839360. Its totient is φ = 66783162700800.

The previous prime is 221102101220993. The next prime is 221102101221037. The reversal of 221102101221012 is 210122101201122.

221102101221012 is a `hidden beast` number, since 221 + 1 + 0 + 210 + 1 + 221 + 0 + 12 = 666.

It is a super-2 number, since 2×221102101221012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3521207337 + ... + 3521270127.

It is an arithmetic number, because the mean of its divisors is an integer number (4247812554440).

Almost surely, 2^{221102101221012} is an apocalyptic number.

221102101221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102101221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305842503919680).

221102101221012 is an abundant number, since it is smaller than the sum of its proper divisors (390582906618348).

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

221102101221012 is a wasteful number, since it uses less digits than its factorization.

221102101221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91534 (or 91529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221102101221012 its reverse (210122101201122), we get a palindrome (431224202422134).

The spelling of 221102101221012 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, twelve".