1002100210101 has 6 divisors (see below), whose sum is σ = 1447478081270. Its totient is φ = 668066806728.

The previous prime is 1002100210019. The next prime is 1002100210127. The reversal of 1002100210101 is 1010120012001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 975531536100 + 26568674001 = 987690^2 + 162999^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1002100210101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111344467789 = 1002100210101 / (1 + 0 + 0 + 2 + 1 + 0 + 0 + 2 + 1 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100210151) 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 5 ways as a sum of consecutive naturals, for example, 55672233886 + ... + 55672233903.

Almost surely, 2^{1002100210101} is an apocalyptic number.

It is an amenable number.

1002100210101 is a deficient number, since it is larger than the sum of its proper divisors (445377871169).

1002100210101 is a wasteful number, since it uses less digits than its factorization.

1002100210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111344467795 (or 111344467792 counting only the distinct ones).

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

Adding to 1002100210101 its reverse (1010120012001), we get a palindrome (2012220222102).

It can be divided in two parts, 1002100 and 210101, that added together give a square (1212201 = 1101²).

The spelling of 1002100210101 in words is "one trillion, two billion, one hundred million, two hundred ten thousand, one hundred one".