10002102201101 has 4 divisors (see below), whose sum is σ = 10002868717500. Its totient is φ = 10001335684704.

The previous prime is 10002102201019. The next prime is 10002102201127. The reversal of 10002102201101 is 10110220120001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6177238014025 + 3824864187076 = 2485405^2 + 1955726^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002102201101 - 2¹⁸ = 10002101938957 is a prime.

It is a super-2 number, since 2×10002102201101² (a number of 27 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 (10002102201151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383238626 + ... + 383264723.

It is an arithmetic number, because the mean of its divisors is an integer number (2500717179375).

Almost surely, 2^{10002102201101} is an apocalyptic number.

It is an amenable number.

10002102201101 is a deficient number, since it is larger than the sum of its proper divisors (766516399).

10002102201101 is an equidigital number, since it uses as much as digits as its factorization.

10002102201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766516398.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002102201101 its reverse (10110220120001), we get a palindrome (20112322321102).

The spelling of 10002102201101 in words is "ten trillion, two billion, one hundred two million, two hundred one thousand, one hundred one".