1011010001120 has 48 divisors (see below), whose sum is σ = 2729727006048. Its totient is φ = 346632000000.

The previous prime is 1011010001083. The next prime is 1011010001173. The reversal of 1011010001120 is 211000101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1011010001098 and 1011010001107.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 451342631 + ... + 451344870.

It is an arithmetic number, because the mean of its divisors is an integer number (56869312626).

Almost surely, 2^{1011010001120} is an apocalyptic number.

1011010001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011010001120 is an abundant number, since it is smaller than the sum of its proper divisors (1718717004928).

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

1011010001120 is an equidigital number, since it uses as much as digits as its factorization.

1011010001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902687523 (or 902687515 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011010001120 its reverse (211000101101), we get a palindrome (1222010102221).

The spelling of 1011010001120 in words is "one trillion, eleven billion, ten million, one thousand, one hundred twenty".