1002120002101 has 8 divisors (see below), whose sum is σ = 1002750923160. Its totient is φ = 1001489275392.

The previous prime is 1002120002087. The next prime is 1002120002183. The reversal of 1002120002101 is 1012000212001.

It can be written as a sum of positive squares in 4 ways, for example, as 55060153201 + 947059848900 = 234649^2 + 973170^2 .

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 1002120002101 - 2¹¹ = 1002120000053 is a prime.

It is a super-2 number, since 2×1002120002101² (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 (1002120005101) 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 7 ways as a sum of consecutive naturals, for example, 11050921 + ... + 11141233.

It is an arithmetic number, because the mean of its divisors is an integer number (125343865395).

Almost surely, 2^{1002120002101} is an apocalyptic number.

It is an amenable number.

1002120002101 is a deficient number, since it is larger than the sum of its proper divisors (630921059).

1002120002101 is an equidigital number, since it uses as much as digits as its factorization.

1002120002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97175.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002120002101 its reverse (1012000212001), we get a palindrome (2014120214102).

The spelling of 1002120002101 in words is "one trillion, two billion, one hundred twenty million, two thousand, one hundred one".