10111100033100 has 72 divisors (see below), whose sum is σ = 31914308478528. Its totient is φ = 2451175764800.

The previous prime is 10111100033053. The next prime is 10111100033113. The reversal of 10111100033100 is 133000111101.

It is a super-3 number, since 3×10111100033100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531981554 + ... + 1531988153.

It is an arithmetic number, because the mean of its divisors is an integer number (443254284424).

Almost surely, 2^{10111100033100} is an apocalyptic number.

10111100033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111100033100 is an abundant number, since it is smaller than the sum of its proper divisors (21803208445428).

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

10111100033100 is a wasteful number, since it uses less digits than its factorization.

10111100033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063969735 (or 3063969728 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10111100033100 its reverse (133000111101), we get a palindrome (10244100144201).

The spelling of 10111100033100 in words is "ten trillion, one hundred eleven billion, one hundred million, thirty-three thousand, one hundred".