1001002012101 has 72 divisors (see below), whose sum is σ = 1823099031936. Its totient is φ = 518038485120.

The previous prime is 1001002012093. The next prime is 1001002012177. The reversal of 1001002012101 is 1012102001001.

It is a happy number.

It is not a de Polignac number, because 1001002012101 - 2³ = 1001002012093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002012501) 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 71 ways as a sum of consecutive naturals, for example, 322665 + ... + 1451246.

It is an arithmetic number, because the mean of its divisors is an integer number (25320819888).

Almost surely, 2^{1001002012101} is an apocalyptic number.

It is an amenable number.

1001002012101 is a deficient number, since it is larger than the sum of its proper divisors (822097019835).

1001002012101 is a wasteful number, since it uses less digits than its factorization.

1001002012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774003 (or 1773987 counting only the distinct ones).

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

Adding to 1001002012101 its reverse (1012102001001), we get a palindrome (2013104013102).

The spelling of 1001002012101 in words is "one trillion, one billion, two million, twelve thousand, one hundred one".