101121111001 has 8 divisors (see below), whose sum is σ = 103969732608. Its totient is φ = 98290692000.

The previous prime is 101121110947. The next prime is 101121111029. The reversal of 101121111001 is 100111121101.

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 101121111001 - 2¹³ = 101121102809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121171001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4539385 + ... + 4561606.

It is an arithmetic number, because the mean of its divisors is an integer number (12996216576).

Almost surely, 2^101121111001 is an apocalyptic number.

It is an amenable number.

101121111001 is a deficient number, since it is larger than the sum of its proper divisors (2848621607).

101121111001 is an equidigital number, since it uses as much as digits as its factorization.

101121111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101303.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101121111001 its reverse (100111121101), we get a palindrome (201232232102).

The spelling of 101121111001 in words is "one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one".