101111011011120 has 320 divisors, whose sum is σ = 360176232960000. Its totient is φ = 23206158904320.

The previous prime is 101111011011083. The next prime is 101111011011133. The reversal of 101111011011120 is 21110110111101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101111011011096 and 101111011011105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74517469 + ... + 75862211.

It is an arithmetic number, because the mean of its divisors is an integer number (1125550728000).

Almost surely, 2^{101111011011120} is an apocalyptic number.

101111011011120 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 101111011011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180088116480000).

101111011011120 is an abundant number, since it is smaller than the sum of its proper divisors (259065221948880).

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

101111011011120 is a wasteful number, since it uses less digits than its factorization.

101111011011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346288 (or 1346282 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101111011011120 its reverse (21110110111101), we get a palindrome (122221121122221).

The spelling of 101111011011120 in words is "one hundred one trillion, one hundred eleven billion, eleven million, eleven thousand, one hundred twenty".