10010011121001 has 12 divisors (see below), whose sum is σ = 15219899950320. Its totient is φ = 6322112286840.

The previous prime is 10010011120997. The next prime is 10010011121009. The reversal of 10010011121001 is 10012111001001.

It is not a de Polignac number, because 10010011121001 - 2² = 10010011120997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10010011121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29269038195 + ... + 29269038536.

It is an arithmetic number, because the mean of its divisors is an integer number (1268324995860).

Almost surely, 2^{10010011121001} is an apocalyptic number.

It is an amenable number.

10010011121001 is a deficient number, since it is larger than the sum of its proper divisors (5209888829319).

10010011121001 is a wasteful number, since it uses less digits than its factorization.

10010011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58538076756 (or 58538076753 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010011121001 its reverse (10012111001001), we get a palindrome (20022122122002).

The spelling of 10010011121001 in words is "ten trillion, ten billion, eleven million, one hundred twenty-one thousand, one".