20111222211102 has 192 divisors, whose sum is σ = 49136963226624. Its totient is φ = 5891180958720.

The previous prime is 20111222211007. The next prime is 20111222211109.

20111222211102 is a `hidden beast` number, since 20 + 111 + 222 + 211 + 102 = 666.

20111222211102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20111222211102² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (20111222211109) 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, 4706579238 + ... + 4706583510.

It is an arithmetic number, because the mean of its divisors is an integer number (255921683472).

Almost surely, 2^{20111222211102} is an apocalyptic number.

20111222211102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111222211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568481613312).

20111222211102 is an abundant number, since it is smaller than the sum of its proper divisors (29025741015522).

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

20111222211102 is a wasteful number, since it uses less digits than its factorization.

20111222211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8340 counting only the distinct ones).

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

It can be divided in two parts, 2011122 and 2211102, that added together give a palindrome (4222224).

The spelling of 20111222211102 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred two".