101001120002001 has 12 divisors (see below), whose sum is σ = 145893750202512. Its totient is φ = 67332582986136.

The previous prime is 101001120001997. The next prime is 101001120002039. The reversal of 101001120002001 is 100200021100101.

It is a happy number.

It is not a de Polignac number, because 101001120002001 - 2² = 101001120001997 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 (101001120202001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124323891 + ... + 125133656.

It is an arithmetic number, because the mean of its divisors is an integer number (12157812516876).

Almost surely, 2^{101001120002001} is an apocalyptic number.

It is an amenable number.

101001120002001 is a deficient number, since it is larger than the sum of its proper divisors (44892630200511).

101001120002001 is a wasteful number, since it uses less digits than its factorization.

101001120002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249502540 (or 249502537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001120002001 its reverse (100200021100101), we get a palindrome (201201141102102).

The spelling of 101001120002001 in words is "one hundred one trillion, one billion, one hundred twenty million, two thousand, one".