1012001101120 has 56 divisors (see below), whose sum is σ = 2410158439008. Its totient is φ = 404744870400.

The previous prime is 1012001101073. The next prime is 1012001101123. The reversal of 1012001101120 is 211011002101.

It is a super-3 number, since 3×1012001101120³ (a number of 37 digits) contains 333 as substring.

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 = 1012001101097 and 1012001101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012001101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158155 + ... + 2584885.

Almost surely, 2^{1012001101120} is an apocalyptic number.

1012001101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001101120 is an abundant number, since it is smaller than the sum of its proper divisors (1398157337888).

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

1012001101120 is an equidigital number, since it uses as much as digits as its factorization.

1012001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434159 (or 434149 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012001101120 its reverse (211011002101), we get a palindrome (1223012103221).

The spelling of 1012001101120 in words is "one trillion, twelve billion, one million, one hundred one thousand, one hundred twenty".