111107956493100 has 288 divisors, whose sum is σ = 367903979860480. Its totient is φ = 25361074391040.

The previous prime is 111107956493077. The next prime is 111107956493117. The reversal of 111107956493100 is 1394659701111.

It is a happy number.

It is a super-2 number, since 2×111107956493100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111107956493100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10355848536 + ... + 10355859264.

Almost surely, 2^{111107956493100} is an apocalyptic number.

111107956493100 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 111107956493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183951989930240).

111107956493100 is an abundant number, since it is smaller than the sum of its proper divisors (256796023367380).

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

111107956493100 is a wasteful number, since it uses less digits than its factorization.

111107956493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17097 (or 17090 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The spelling of 111107956493100 in words is "one hundred eleven trillion, one hundred seven billion, nine hundred fifty-six million, four hundred ninety-three thousand, one hundred".