10210011121001 has 8 divisors (see below), whose sum is σ = 10284463043400. Its totient is φ = 10135757473920.

The previous prime is 10210011120997. The next prime is 10210011121067. The reversal of 10210011121001 is 10012111001201.

It can be written as a sum of positive squares in 4 ways, for example, as 1085140973401 + 9124870147600 = 1041701^2 + 3020740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10210011121001 - 2² = 10210011120997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10210011121901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49465466 + ... + 49671443.

It is an arithmetic number, because the mean of its divisors is an integer number (1285557880425).

Almost surely, 2^{10210011121001} is an apocalyptic number.

It is an amenable number.

10210011121001 is a deficient number, since it is larger than the sum of its proper divisors (74451922399).

10210011121001 is an equidigital number, since it uses as much as digits as its factorization.

10210011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99137659.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10210011121001 its reverse (10012111001201), we get a palindrome (20222122122202).

The spelling of 10210011121001 in words is "ten trillion, two hundred ten billion, eleven million, one hundred twenty-one thousand, one".