1001112010120 has 16 divisors (see below), whose sum is σ = 2252502022860. Its totient is φ = 400444804032.

The previous prime is 1001112010109. The next prime is 1001112010139. The reversal of 1001112010120 is 210102111001.

It can be written as a sum of positive squares in 2 ways, for example, as 951323228164 + 49788781956 = 975358^2 + 223134^2 .

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 = 1001112010097 and 1001112010106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12513900087 + ... + 12513900166.

Almost surely, 2^{1001112010120} is an apocalyptic number.

1001112010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112010120 is an abundant number, since it is smaller than the sum of its proper divisors (1251390012740).

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

1001112010120 is a wasteful number, since it uses less digits than its factorization.

1001112010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25027800264 (or 25027800260 counting only the distinct ones).

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

Adding to 1001112010120 its reverse (210102111001), we get a palindrome (1211214121121).

The spelling of 1001112010120 in words is "one trillion, one billion, one hundred twelve million, ten thousand, one hundred twenty".