10001011001121 has 72 divisors (see below), whose sum is σ = 17691162540480. Its totient is φ = 5413377324096.

The previous prime is 10001011001117. The next prime is 10001011001269. The reversal of 10001011001121 is 12110011010001.

It is not a de Polignac number, because 10001011001121 - 2² = 10001011001117 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001011001321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67938820 + ... + 68085866.

It is an arithmetic number, because the mean of its divisors is an integer number (245710590840).

Almost surely, 2^{10001011001121} is an apocalyptic number.

It is an amenable number.

10001011001121 is a deficient number, since it is larger than the sum of its proper divisors (7690151539359).

10001011001121 is a wasteful number, since it uses less digits than its factorization.

10001011001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155203 (or 155193 counting only the distinct ones).

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

Adding to 10001011001121 its reverse (12110011010001), we get a palindrome (22111022011122).

The spelling of 10001011001121 in words is "ten trillion, one billion, eleven million, one thousand, one hundred twenty-one".