1012000221121 has 8 divisors (see below), whose sum is σ = 1049456442600. Its totient is φ = 974714643840.

The previous prime is 1012000221101. The next prime is 1012000221131. The reversal of 1012000221121 is 1211220002101.

It can be written as a sum of positive squares in 4 ways, for example, as 87787171521 + 924213049600 = 296289^2 + 961360^2 .

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 1012000221121 - 2¹¹ = 1012000219073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012000221101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42648970 + ... + 42672691.

It is an arithmetic number, because the mean of its divisors is an integer number (131182055325).

Almost surely, 2^{1012000221121} is an apocalyptic number.

It is an amenable number.

1012000221121 is a deficient number, since it is larger than the sum of its proper divisors (37456221479).

1012000221121 is an equidigital number, since it uses as much as digits as its factorization.

1012000221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85322099.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012000221121 its reverse (1211220002101), we get a palindrome (2223220223222).

The spelling of 1012000221121 in words is "one trillion, twelve billion, two hundred twenty-one thousand, one hundred twenty-one".