101121001001001 has 12 divisors (see below), whose sum is σ = 146125013657220. Its totient is φ = 67385687339040.

The previous prime is 101121001000937. The next prime is 101121001001011. The reversal of 101121001001001 is 100100100121101.

It can be written as a sum of positive squares in 2 ways, for example, as 1295724613401 + 99825276387600 = 1138299^2 + 9991260^2 .

It is not a de Polignac number, because 101121001001001 - 2⁶ = 101121001000937 is a prime.

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

101121001001001 is a modest number, since divided by 1001001 gives 101121 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101121001001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2359421406 + ... + 2359464263.

It is an arithmetic number, because the mean of its divisors is an integer number (12177084471435).

Almost surely, 2^{101121001001001} is an apocalyptic number.

It is an amenable number.

101121001001001 is a deficient number, since it is larger than the sum of its proper divisors (45004012656219).

101121001001001 is a wasteful number, since it uses less digits than its factorization.

101121001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718888056 (or 4718888053 counting only the distinct ones).

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

Adding to 101121001001001 its reverse (100100100121101), we get a palindrome (201221101122102).

The spelling of 101121001001001 in words is "one hundred one trillion, one hundred twenty-one billion, one million, one thousand, one".