1002101210101 has 16 divisors (see below), whose sum is σ = 1023833674800. Its totient is φ = 980593440768.

The previous prime is 1002101210039. The next prime is 1002101210141. The reversal of 1002101210101 is 1010121012001.

It can be written as a sum of positive squares in 8 ways, for example, as 344175822225 + 657925387876 = 586665^2 + 811126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002101210101 - 2¹³ = 1002101201909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002101210141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17863785 + ... + 17919793.

It is an arithmetic number, because the mean of its divisors is an integer number (63989604675).

Almost surely, 2^{1002101210101} is an apocalyptic number.

It is an amenable number.

1002101210101 is a deficient number, since it is larger than the sum of its proper divisors (21732464699).

1002101210101 is a wasteful number, since it uses less digits than its factorization.

1002101210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58008.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002101210101 its reverse (1010121012001), we get a palindrome (2012222222102).

The spelling of 1002101210101 in words is "one trillion, two billion, one hundred one million, two hundred ten thousand, one hundred one".