101001120001121 has 4 divisors (see below), whose sum is σ = 105392473044672. Its totient is φ = 96609766957572.

The previous prime is 101001120001087. The next prime is 101001120001139. The reversal of 101001120001121 is 121100021100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101001120001121 - 2⁶ = 101001120001057 is a prime.

It is a super-3 number, since 3×101001120001121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001120001921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2195676521741 + ... + 2195676521786.

It is an arithmetic number, because the mean of its divisors is an integer number (26348118261168).

Almost surely, 2^{101001120001121} is an apocalyptic number.

It is an amenable number.

101001120001121 is a deficient number, since it is larger than the sum of its proper divisors (4391353043551).

101001120001121 is an equidigital number, since it uses as much as digits as its factorization.

101001120001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391353043550.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001120001121 its reverse (121100021100101), we get a palindrome (222101141101222).

The spelling of 101001120001121 in words is "one hundred one trillion, one billion, one hundred twenty million, one thousand, one hundred twenty-one".