1002020102101 has 4 divisors (see below), whose sum is σ = 1002022458304. Its totient is φ = 1002017745900.

The previous prime is 1002020102087. The next prime is 1002020102141. The reversal of 1002020102101 is 1012010202001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002020102101 is a prime.

It is a super-2 number, since 2×1002020102101² (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 (1002020102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342765 + ... + 1456546.

It is an arithmetic number, because the mean of its divisors is an integer number (250505614576).

Almost surely, 2^{1002020102101} is an apocalyptic number.

It is an amenable number.

1002020102101 is a deficient number, since it is larger than the sum of its proper divisors (2356203).

1002020102101 is an equidigital number, since it uses as much as digits as its factorization.

1002020102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356202.

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

Adding to 1002020102101 its reverse (1012010202001), we get a palindrome (2014030304102).

The spelling of 1002020102101 in words is "one trillion, two billion, twenty million, one hundred two thousand, one hundred one".