1000121011021 has 6 divisors (see below), whose sum is σ = 1099306565966. Its totient is φ = 909200919000.

The previous prime is 1000121011013. The next prime is 1000121011063. The reversal of 1000121011021 is 1201101210001.

It can be written as a sum of positive squares in only one way, i.e., 929691282025 + 70429728996 = 964205^2 + 265386^2 .

It is not a de Polignac number, because 1000121011021 - 2³ = 1000121011013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000121010989 and 1000121011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121014021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4132731330 + ... + 4132731571.

Almost surely, 2^{1000121011021} is an apocalyptic number.

1000121011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000121011021 is a deficient number, since it is larger than the sum of its proper divisors (99185554945).

1000121011021 is an equidigital number, since it uses as much as digits as its factorization.

1000121011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265462923 (or 8265462912 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000121011021 its reverse (1201101210001), we get a palindrome (2201222221022).

The spelling of 1000121011021 in words is "one trillion, one hundred twenty-one million, eleven thousand, twenty-one".