1002120012101 has 8 divisors (see below), whose sum is σ = 1079217296640. Its totient is φ = 925024317552.

The previous prime is 1002120012067. The next prime is 1002120012137. The reversal of 1002120012101 is 1012100212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002120012101 - 2²⁶ = 1002052903237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120012151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128536 + ... + 1810478.

It is an arithmetic number, because the mean of its divisors is an integer number (134902162080).

Almost surely, 2^{1002120012101} is an apocalyptic number.

It is an amenable number.

1002120012101 is a deficient number, since it is larger than the sum of its proper divisors (77097284539).

1002120012101 is a wasteful number, since it uses less digits than its factorization.

1002120012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794995.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002120012101 its reverse (1012100212001), we get a palindrome (2014220224102).

The spelling of 1002120012101 in words is "one trillion, two billion, one hundred twenty million, twelve thousand, one hundred one".