1011001210001 has 2 divisors, whose sum is σ = 1011001210002. Its totient is φ = 1011001210000.

The previous prime is 1011001209979. The next prime is 1011001210013. The reversal of 1011001210001 is 1000121001101.

It is a happy number.

1011001210001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 639998400001 + 371002810000 = 799999^2 + 609100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011001210001 is a prime.

It is a super-2 number, since 2×1011001210001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1011001210061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500605000 + 505500605001.

It is an arithmetic number, because the mean of its divisors is an integer number (505500605001).

Almost surely, 2^{1011001210001} is an apocalyptic number.

It is an amenable number.

1011001210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001210001 is an equidigital number, since it uses as much as digits as its factorization.

1011001210001 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 1011001210001 its reverse (1000121001101), we get a palindrome (2011122211102).

It can be divided in two parts, 10 and 11001210001, that added together give a palindrome (11001210011).

The spelling of 1011001210001 in words is "one trillion, eleven billion, one million, two hundred ten thousand, one".