111212011010100 has 576 divisors, whose sum is σ = 443708012869632. Its totient is φ = 20754849024000.

The previous prime is 111212011010057. The next prime is 111212011010159. The reversal of 111212011010100 is 1010110212111.

It is a super-2 number, since 2×111212011010100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6106555 + ... + 16115645.

It is an arithmetic number, because the mean of its divisors is an integer number (770326411232).

Almost surely, 2^{111212011010100} is an apocalyptic number.

111212011010100 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 111212011010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221854006434816).

111212011010100 is an abundant number, since it is smaller than the sum of its proper divisors (332496001859532).

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

111212011010100 is a wasteful number, since it uses less digits than its factorization.

111212011010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009176 (or 10009169 counting only the distinct ones).

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

Adding to 111212011010100 its reverse (1010110212111), we get a palindrome (112222121222211).

The spelling of 111212011010100 in words is "one hundred eleven trillion, two hundred twelve billion, eleven million, ten thousand, one hundred".