20110102111100 has 432 divisors, whose sum is σ = 49045483908960. Its totient is φ = 7134842880000.

The previous prime is 20110102111091. The next prime is 20110102111103. The reversal of 20110102111100 is 111120101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110102111103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14775974420 + ... + 14775975780.

Almost surely, 2^{20110102111100} is an apocalyptic number.

20110102111100 is a gapful number since it is divisible by the number (20) 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 20110102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24522741954480).

20110102111100 is an abundant number, since it is smaller than the sum of its proper divisors (28935381797860).

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

20110102111100 is a wasteful number, since it uses less digits than its factorization.

20110102111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 20110102111100 its reverse (111120101102), we get a palindrome (20221222212202).

The spelling of 20110102111100 in words is "twenty trillion, one hundred ten billion, one hundred two million, one hundred eleven thousand, one hundred".