10001121110001 has 48 divisors (see below), whose sum is σ = 17341231752000. Its totient is φ = 5679865328256.

The previous prime is 10001121109999. The next prime is 10001121110003. The reversal of 10001121110001 is 10001112110001.

It is an interprime number because it is at equal distance from previous prime (10001121109999) and next prime (10001121110003).

It is not a de Polignac number, because 10001121110001 - 2¹ = 10001121109999 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 (10001121110003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22972776 + ... + 23404073.

It is an arithmetic number, because the mean of its divisors is an integer number (361275661500).

Almost surely, 2^{10001121110001} is an apocalyptic number.

It is an amenable number.

10001121110001 is a deficient number, since it is larger than the sum of its proper divisors (7340110641999).

10001121110001 is a wasteful number, since it uses less digits than its factorization.

10001121110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46377035 (or 46377022 counting only the distinct ones).

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

Adding to 10001121110001 its reverse (10001112110001), we get a palindrome (20002233220002).

Subtracting from 10001121110001 its reverse (10001112110001), we obtain a square (9000000 = 3000²).

The spelling of 10001121110001 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred ten thousand, one".