10121001001 has 2 divisors, whose sum is σ = 10121001002. Its totient is φ = 10121001000.

The previous prime is 10121000971. The next prime is 10121001013. The reversal of 10121001001 is 10010012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9225794601 + 895206400 = 96051^2 + 29920^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121001001 - 2¹⁹ = 10120476713 is a prime.

It is a super-2 number, since 2×10121001001² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121001061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060500500 + 5060500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5060500501).

Almost surely, 2^10121001001 is an apocalyptic number.

It is an amenable number.

10121001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121001001 is an equidigital number, since it uses as much as digits as its factorization.

10121001001 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 7.

Adding to 10121001001 its reverse (10010012101), we get a palindrome (20131013102).

It can be divided in two parts, 1012100 and 1001, that added together give a palindrome (1013101).

The spelling of 10121001001 in words is "ten billion, one hundred twenty-one million, one thousand, one".