1011101210120 has 16 divisors (see below), whose sum is σ = 2274977722860. Its totient is φ = 404440484032.

The previous prime is 1011101210113. The next prime is 1011101210179. The reversal of 1011101210120 is 210121011101.

It can be written as a sum of positive squares in 2 ways, for example, as 990944593444 + 20156616676 = 995462^2 + 141974^2 .

It is a super-2 number, since 2×1011101210120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12638765087 + ... + 12638765166.

Almost surely, 2^{1011101210120} is an apocalyptic number.

1011101210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011101210120 is an abundant number, since it is smaller than the sum of its proper divisors (1263876512740).

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

1011101210120 is a wasteful number, since it uses less digits than its factorization.

1011101210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25277530264 (or 25277530260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011101210120 its reverse (210121011101), we get a palindrome (1221222221221).

It can be divided in two parts, 1011101 and 210120, that added together give a palindrome (1221221).

The spelling of 1011101210120 in words is "one trillion, eleven billion, one hundred one million, two hundred ten thousand, one hundred twenty".