20110111101102 has 512 divisors, whose sum is σ = 48946996224000. Its totient is φ = 5441976576000.

The previous prime is 20110111101079. The next prime is 20110111101103.

20110111101102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20110111101102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110111101103) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57954210493 + ... + 57954210839.

It is an arithmetic number, because the mean of its divisors is an integer number (95599602000).

Almost surely, 2^{20110111101102} is an apocalyptic number.

20110111101102 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 20110111101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473498112000).

20110111101102 is an abundant number, since it is smaller than the sum of its proper divisors (28836885122898).

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

20110111101102 is a wasteful number, since it uses less digits than its factorization.

20110111101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752.

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

It can be divided in two parts, 2011011 and 1101102, that multiplied together give a palindrome (2214328234122).

The spelling of 20110111101102 in words is "twenty trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred two".