1002001002101 has 32 divisors (see below), whose sum is σ = 1140153532416. Its totient is φ = 872316360000.

The previous prime is 1002001002077. The next prime is 1002001002109. The reversal of 1002001002101 is 1012001002001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002001002101 is a prime.

It is a super-2 number, since 2×1002001002101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001002109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71733620 + ... + 71747586.

It is an arithmetic number, because the mean of its divisors is an integer number (35629797888).

Almost surely, 2^{1002001002101} is an apocalyptic number.

1002001002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002001002101 is a deficient number, since it is larger than the sum of its proper divisors (138152530315).

1002001002101 is a wasteful number, since it uses less digits than its factorization.

1002001002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16193.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002001002101 its reverse (1012001002001), we get a palindrome (2014002004102).

The spelling of 1002001002101 in words is "one trillion, two billion, one million, two thousand, one hundred one".