1000120021121 has 8 divisors (see below), whose sum is σ = 1077539054760. Its totient is φ = 922770519552.

The previous prime is 1000120021079. The next prime is 1000120021157. The reversal of 1000120021121 is 1211200210001.

It can be written as a sum of positive squares in 4 ways, for example, as 200327856400 + 799792164721 = 447580^2 + 894311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000120021121 - 2²² = 1000115826817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000120021171) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17353136 + ... + 17410673.

It is an arithmetic number, because the mean of its divisors is an integer number (134692381845).

Almost surely, 2^{1000120021121} is an apocalyptic number.

It is an amenable number.

1000120021121 is a deficient number, since it is larger than the sum of its proper divisors (77419033639).

1000120021121 is a wasteful number, since it uses less digits than its factorization.

1000120021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34766035.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000120021121 its reverse (1211200210001), we get a palindrome (2211320231122).

The spelling of 1000120021121 in words is "one trillion, one hundred twenty million, twenty-one thousand, one hundred twenty-one".