101221111020222 has 64 divisors (see below), whose sum is σ = 227187447693120. Its totient is φ = 33402695760000.

The previous prime is 101221111020163. The next prime is 101221111020229. The reversal of 101221111020222 is 222020111122101.

101221111020222 is a `hidden beast` number, since 101 + 2 + 211 + 110 + 20 + 222 = 666.

It is a super-2 number, since 2×101221111020222² (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 junction number, because it is equal to n+sod(n) for n = 101221111020195 and 101221111020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221111020229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49685472 + ... + 51682572.

It is an arithmetic number, because the mean of its divisors is an integer number (3549803870205).

Almost surely, 2^{101221111020222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221111020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113593723846560).

101221111020222 is an abundant number, since it is smaller than the sum of its proper divisors (125966336672898).

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

101221111020222 is a wasteful number, since it uses less digits than its factorization.

101221111020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006506 (or 2006500 counting only the distinct ones).

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

Adding to 101221111020222 its reverse (222020111122101), we get a palindrome (323241222142323).

The spelling of 101221111020222 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, twenty thousand, two hundred twenty-two".