111002012020100 has 144 divisors (see below), whose sum is σ = 249531581040000. Its totient is φ = 42809362928640.

The previous prime is 111002012019949. The next prime is 111002012020139. The reversal of 111002012020100 is 1020210200111.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7134256121 + ... + 7134271679.

Almost surely, 2^{111002012020100} is an apocalyptic number.

111002012020100 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 111002012020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124765790520000).

111002012020100 is an abundant number, since it is smaller than the sum of its proper divisors (138529569019900).

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

111002012020100 is a wasteful number, since it uses less digits than its factorization.

111002012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18910 (or 18903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 111002012020100 its reverse (1020210200111), we get a palindrome (112022222220211).

The spelling of 111002012020100 in words is "one hundred eleven trillion, two billion, twelve million, twenty thousand, one hundred".