101001001001121 has 48 divisors (see below), whose sum is σ = 158162419711296. Its totient is φ = 61740557900928.

The previous prime is 101001001001083. The next prime is 101001001001129. The reversal of 101001001001121 is 121100100100101.

It is not a de Polignac number, because 101001001001121 - 2⁶ = 101001001001057 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 (101001001001129) 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, 5725786 + ... + 15322748.

It is an arithmetic number, because the mean of its divisors is an integer number (3295050410652).

Almost surely, 2^{101001001001121} is an apocalyptic number.

It is an amenable number.

101001001001121 is a deficient number, since it is larger than the sum of its proper divisors (57161418710175).

101001001001121 is a wasteful number, since it uses less digits than its factorization.

101001001001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9597582 (or 9597579 counting only the distinct ones).

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

Adding to 101001001001121 its reverse (121100100100101), we get a palindrome (222101101101222).

The spelling of 101001001001121 in words is "one hundred one trillion, one billion, one million, one thousand, one hundred twenty-one".