10121111232120 has 1280 divisors, whose sum is σ = 41049828864000. Its totient is φ = 2186743578624.

The previous prime is 10121111232107. The next prime is 10121111232137. The reversal of 10121111232120 is 2123211112101.

It is a happy number.

10121111232120 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 112 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121111232093 and 10121111232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23054922861 + ... + 23054923299.

It is an arithmetic number, because the mean of its divisors is an integer number (32070178800).

Almost surely, 2^{10121111232120} is an apocalyptic number.

10121111232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121111232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20524914432000).

10121111232120 is an abundant number, since it is smaller than the sum of its proper divisors (30928717631880).

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

10121111232120 is a wasteful number, since it uses less digits than its factorization.

10121111232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10121111232120 its reverse (2123211112101), we get a palindrome (12244322344221).

The spelling of 10121111232120 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, two hundred thirty-two thousand, one hundred twenty".