1001111112120 has 64 divisors (see below), whose sum is σ = 3432380958720. Its totient is φ = 228825396864.

The previous prime is 1001111112119. The next prime is 1001111112121. The reversal of 1001111112120 is 212111111001.

It is an interprime number because it is at equal distance from previous prime (1001111112119) and next prime (1001111112121).

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 = 1001111112096 and 1001111112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111112121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595898632 + ... + 595900311.

It is an arithmetic number, because the mean of its divisors is an integer number (53630952480).

Almost surely, 2^{1001111112120} is an apocalyptic number.

1001111112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111112120 is an abundant number, since it is smaller than the sum of its proper divisors (2431269846600).

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

1001111112120 is a wasteful number, since it uses less digits than its factorization.

1001111112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191798964 (or 1191798960 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001111112120 its reverse (212111111001), we get a palindrome (1213222223121).

The spelling of 1001111112120 in words is "one trillion, one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty".