111101101110972 has 216 divisors, whose sum is σ = 331615139178960. Its totient is φ = 31264769733120.

The previous prime is 111101101110971. The next prime is 111101101110973. The reversal of 111101101110972 is 279011101101111.

It is an interprime number because it is at equal distance from previous prime (111101101110971) and next prime (111101101110973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101101110971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 842496322 + ... + 842628182.

Almost surely, 2^{111101101110972} is an apocalyptic number.

111101101110972 is a gapful number since it is divisible by the number (12) 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 111101101110972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165807569589480).

111101101110972 is an abundant number, since it is smaller than the sum of its proper divisors (220514038067988).

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

111101101110972 is a wasteful number, since it uses less digits than its factorization.

111101101110972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139081 (or 139069 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 27.

The spelling of 111101101110972 in words is "one hundred eleven trillion, one hundred one billion, one hundred one million, one hundred ten thousand, nine hundred seventy-two".