1000120001024 has 20 divisors (see below), whose sum is σ = 1998286643694. Its totient is φ = 500060000256.

The previous prime is 1000120001017. The next prime is 1000120001057. The reversal of 1000120001024 is 4201000210001.

It can be written as a sum of positive squares in only one way, i.e., 980416825600 + 19703175424 = 990160^2 + 140368^2 .

It is a super-2 number, since 2×1000120001024² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000120000996 and 1000120001014.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 976679177 + ... + 976680200.

Almost surely, 2^{1000120001024} is an apocalyptic number.

It is an amenable number.

1000120001024 is a deficient number, since it is larger than the sum of its proper divisors (998166642670).

1000120001024 is an frugal number, since it uses more digits than its factorization.

1000120001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953359395 (or 1953359379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000120001024 its reverse (4201000210001), we get a palindrome (5201120211025).

The spelling of 1000120001024 in words is "one trillion, one hundred twenty million, one thousand, twenty-four".