1010120011001 has 2 divisors, whose sum is σ = 1010120011002. Its totient is φ = 1010120011000.

The previous prime is 1010120010997. The next prime is 1010120011013. The reversal of 1010120011001 is 1001100210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 701072964601 + 309047046400 = 837301^2 + 555920^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010120011001 - 2² = 1010120010997 is a prime.

It is a super-2 number, since 2×1010120011001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010120011001.

It is not a weakly prime, because it can be changed into another prime (1010120019001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060005500 + 505060005501.

It is an arithmetic number, because the mean of its divisors is an integer number (505060005501).

Almost surely, 2^{1010120011001} is an apocalyptic number.

It is an amenable number.

1010120011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120011001 is an equidigital number, since it uses as much as digits as its factorization.

1010120011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010120011001 its reverse (1001100210101), we get a palindrome (2011220221102).

The spelling of 1010120011001 in words is "one trillion, ten billion, one hundred twenty million, eleven thousand, one".