101121000111001 has 32 divisors (see below), whose sum is σ = 116790536177280. Its totient is φ = 86779340928000.

The previous prime is 101121000110969. The next prime is 101121000111031. The reversal of 101121000111001 is 100111000121101.

It is a cyclic number.

It is not a de Polignac number, because 101121000111001 - 2⁵ = 101121000110969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121000111031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15116535 + ... + 20754556.

It is an arithmetic number, because the mean of its divisors is an integer number (3649704255540).

Almost surely, 2^{101121000111001} is an apocalyptic number.

It is an amenable number.

101121000111001 is a deficient number, since it is larger than the sum of its proper divisors (15669536066279).

101121000111001 is a wasteful number, since it uses less digits than its factorization.

101121000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35871337.

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

Adding to 101121000111001 its reverse (100111000121101), we get a palindrome (201232000232102).

The spelling of 101121000111001 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred eleven thousand, one".