101001210002101 has 8 divisors (see below), whose sum is σ = 101170331496000. Its totient is φ = 100832090193120.

The previous prime is 101001210002089. The next prime is 101001210002149. The reversal of 101001210002101 is 101200012100101.

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 101001210002101 - 2⁷ = 101001210001973 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 (101001210002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196442281 + ... + 196955761.

It is an arithmetic number, because the mean of its divisors is an integer number (12646291437000).

Almost surely, 2^{101001210002101} is an apocalyptic number.

It is an amenable number.

101001210002101 is a deficient number, since it is larger than the sum of its proper divisors (169121493899).

101001210002101 is an equidigital number, since it uses as much as digits as its factorization.

101001210002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842459.

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

Adding to 101001210002101 its reverse (101200012100101), we get a palindrome (202201222102202).

The spelling of 101001210002101 in words is "one hundred one trillion, one billion, two hundred ten million, two thousand, one hundred one".