20111100111102 has 256 divisors, whose sum is σ = 56404325376000. Its totient is φ = 4612001794560.

The previous prime is 20111100111061. The next prime is 20111100111127.

20111100111102 is nontrivially palindromic in base 10.

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, 12344149 + ... + 13878047.

It is an arithmetic number, because the mean of its divisors is an integer number (220329396000).

Almost surely, 2^{20111100111102} is an apocalyptic number.

20111100111102 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 20111100111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28202162688000).

20111100111102 is an abundant number, since it is smaller than the sum of its proper divisors (36293225264898).

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

20111100111102 is a wasteful number, since it uses less digits than its factorization.

20111100111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534031.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 20111100 and 111102, that added together give a palindrome (20222202).

The spelling of 20111100111102 in words is "twenty trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred two".