101111110001120 has 192 divisors, whose sum is σ = 262402197442560. Its totient is φ = 36646765056000.

The previous prime is 101111110001113. The next prime is 101111110001123. The reversal of 101111110001120 is 21100011111101.

It is a happy number.

It is a super-4 number, since 4×101111110001120⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110001123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919462940 + ... + 919572900.

It is an arithmetic number, because the mean of its divisors is an integer number (1366678111680).

Almost surely, 2^{101111110001120} is an apocalyptic number.

101111110001120 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 101111110001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131201098721280).

101111110001120 is an abundant number, since it is smaller than the sum of its proper divisors (161291087441440).

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

101111110001120 is a wasteful number, since it uses less digits than its factorization.

101111110001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123169 (or 123161 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111110001120 its reverse (21100011111101), we get a palindrome (122211121112221).

The spelling of 101111110001120 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one thousand, one hundred twenty".