101001111111120 has 320 divisors, whose sum is σ = 355739799767040. Its totient is φ = 23487816038400.

The previous prime is 101001111111119. The next prime is 101001111111133. The reversal of 101001111111120 is 21111111100101.

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 = 101001111111096 and 101001111111105.

It is a congruent number.

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, 346410 + ... + 14216969.

It is an arithmetic number, because the mean of its divisors is an integer number (1111686874272).

Almost surely, 2^{101001111111120} is an apocalyptic number.

101001111111120 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 101001111111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177869899883520).

101001111111120 is an abundant number, since it is smaller than the sum of its proper divisors (254738688655920).

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

101001111111120 is a wasteful number, since it uses less digits than its factorization.

101001111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14563514 (or 14563508 counting only the distinct ones).

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

Adding to 101001111111120 its reverse (21111111100101), we get a palindrome (122112222211221).

The spelling of 101001111111120 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".