10001121012120 has 128 divisors (see below), whose sum is σ = 34629058621440. Its totient is φ = 2263337126400.

The previous prime is 10001121012083. The next prime is 10001121012121. The reversal of 10001121012120 is 2121012110001.

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 = 10001121012096 and 10001121012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58856232 + ... + 59025911.

It is an arithmetic number, because the mean of its divisors is an integer number (270539520480).

Almost surely, 2^{10001121012120} is an apocalyptic number.

10001121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001121012120 is an abundant number, since it is smaller than the sum of its proper divisors (24627937609320).

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

10001121012120 is a wasteful number, since it uses less digits than its factorization.

10001121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117882265 (or 117882261 counting only the distinct ones).

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

Adding to 10001121012120 its reverse (2121012110001), we get a palindrome (12122133122121).

The spelling of 10001121012120 in words is "ten trillion, one billion, one hundred twenty-one million, twelve thousand, one hundred twenty".