101001002102101 has 8 divisors (see below), whose sum is σ = 103846228795008. Its totient is φ = 98173955772000.

The previous prime is 101001002102041. The next prime is 101001002102131. The reversal of 101001002102101 is 101201200100101.

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 101001002102101 - 2¹⁷ = 101001001971029 is a prime.

It is a super-2 number, since 2×101001002102101² (a number of 29 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 (101001002102131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4545079435 + ... + 4545101656.

It is an arithmetic number, because the mean of its divisors is an integer number (12980778599376).

Almost surely, 2^{101001002102101} is an apocalyptic number.

It is an amenable number.

101001002102101 is a deficient number, since it is larger than the sum of its proper divisors (2845226692907).

101001002102101 is an equidigital number, since it uses as much as digits as its factorization.

101001002102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090181403.

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

Adding to 101001002102101 its reverse (101201200100101), we get a palindrome (202202202202202).

The spelling of 101001002102101 in words is "one hundred one trillion, one billion, two million, one hundred two thousand, one hundred one".