10111112012100 has 288 divisors, whose sum is σ = 33820094125440. Its totient is φ = 2308931072000.

The previous prime is 10111112012011. The next prime is 10111112012101. The reversal of 10111112012100 is 121021111101.

It is a super-2 number, since 2×10111112012100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10111112012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2635234 + ... + 5212166.

It is an arithmetic number, because the mean of its divisors is an integer number (117430882380).

Almost surely, 2^{10111112012100} is an apocalyptic number.

10111112012100 is a gapful number since it is divisible by the number (10) 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 10111112012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16910047062720).

10111112012100 is an abundant number, since it is smaller than the sum of its proper divisors (23708982113340).

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

10111112012100 is a wasteful number, since it uses less digits than its factorization.

10111112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577031 (or 2577024 counting only the distinct ones).

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

Adding to 10111112012100 its reverse (121021111101), we get a palindrome (10232133123201).

Subtracting from 10111112012100 its reverse (121021111101), we obtain a palindrome (9990090900999).

The spelling of 10111112012100 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, twelve thousand, one hundred".