1100121012120 has 64 divisors (see below), whose sum is σ = 3554237121120. Its totient is φ = 270799017984.

The previous prime is 1100121012113. The next prime is 1100121012127. The reversal of 1100121012120 is 212101210011.

It is an interprime number because it is at equal distance from previous prime (1100121012113) and next prime (1100121012127).

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 = 1100121012096 and 1100121012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121012127) 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, 352601329 + ... + 352604448.

Almost surely, 2^{1100121012120} is an apocalyptic number.

1100121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100121012120 is an abundant number, since it is smaller than the sum of its proper divisors (2454116109000).

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

1100121012120 is a wasteful number, since it uses less digits than its factorization.

1100121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705205804 (or 705205800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100121012120 its reverse (212101210011), we get a palindrome (1312222222131).

The spelling of 1100121012120 in words is "one trillion, one hundred billion, one hundred twenty-one million, twelve thousand, one hundred twenty".