101011111120 has 120 divisors (see below), whose sum is σ = 246281549472. Its totient is φ = 38525625600.

The previous prime is 101011111093. The next prime is 101011111121. The reversal of 101011111120 is 21111110101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101011111097 and 101011111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14004315 + ... + 14011525.

Almost surely, 2^101011111120 is an apocalyptic number.

101011111120 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 101011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123140774736).

101011111120 is an abundant number, since it is smaller than the sum of its proper divisors (145270438352).

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

101011111120 is a wasteful number, since it uses less digits than its factorization.

101011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011111120 its reverse (21111110101), we get a palindrome (122122221221).

The spelling of 101011111120 in words is "one hundred one billion, eleven million, one hundred eleven thousand, one hundred twenty".