10121111322120 has 96 divisors (see below), whose sum is σ = 32902968660120. Its totient is φ = 2698195276800.

The previous prime is 10121111322109. The next prime is 10121111322137. The reversal of 10121111322120 is 2122311112101.

It is a happy number.

10121111322120 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 11 + 322 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9329591495844 + 791519826276 = 3054438^2 + 889674^2 .

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 = 10121111322093 and 10121111322102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730781 + ... + 5263020.

Almost surely, 2^{10121111322120} is an apocalyptic number.

10121111322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111322120 is an abundant number, since it is smaller than the sum of its proper divisors (22781857338000).

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

10121111322120 is a wasteful number, since it uses less digits than its factorization.

10121111322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997335 (or 7997328 counting only the distinct ones).

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

Adding to 10121111322120 its reverse (2122311112101), we get a palindrome (12243422434221).

The spelling of 10121111322120 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twenty".