101011120121001 has 8 divisors (see below), whose sum is σ = 142603934288544. Its totient is φ = 63379526350400.

The previous prime is 101011120120987. The next prime is 101011120121011. The reversal of 101011120121001 is 100121021110101.

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 101011120121001 - 2⁹ = 101011120120489 is a prime.

It is a super-3 number, since 3×101011120121001³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101011120121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990305099175 + ... + 990305099276.

It is an arithmetic number, because the mean of its divisors is an integer number (17825491786068).

Almost surely, 2^{101011120121001} is an apocalyptic number.

It is an amenable number.

101011120121001 is a deficient number, since it is larger than the sum of its proper divisors (41592814167543).

101011120121001 is a wasteful number, since it uses less digits than its factorization.

101011120121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980610198471.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011120121001 its reverse (100121021110101), we get a palindrome (201132141231102).

The spelling of 101011120121001 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred twenty-one thousand, one".