1002100120101 has 48 divisors (see below), whose sum is σ = 1506433656000. Its totient is φ = 665690514048.

The previous prime is 1002100119983. The next prime is 1002100120103. The reversal of 1002100120101 is 1010210012001.

It is a happy number.

It is not a de Polignac number, because 1002100120101 - 2⁹ = 1002100119589 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 (1002100120103) 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 47 ways as a sum of consecutive naturals, for example, 158331505 + ... + 158337833.

It is an arithmetic number, because the mean of its divisors is an integer number (31384034500).

Almost surely, 2^{1002100120101} is an apocalyptic number.

It is an amenable number.

1002100120101 is a deficient number, since it is larger than the sum of its proper divisors (504333535899).

1002100120101 is an equidigital number, since it uses as much as digits as its factorization.

1002100120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8548 counting only the distinct ones).

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

Adding to 1002100120101 its reverse (1010210012001), we get a palindrome (2012310132102).

The spelling of 1002100120101 in words is "one trillion, two billion, one hundred million, one hundred twenty thousand, one hundred one".