101102102110001 has 4 divisors (see below), whose sum is σ = 101102430342900. Its totient is φ = 101101773877104.

The previous prime is 101102102109961. The next prime is 101102102110063. The reversal of 101102102110001 is 100011201201101.

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 61798481162401 + 39303620947600 = 7861201^2 + 6269260^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102102110001 - 2²⁶ = 101102035001137 is a prime.

It is a super-2 number, since 2×101102102110001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102102110091) 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 3 ways as a sum of consecutive naturals, for example, 163653986 + ... + 164270603.

It is an arithmetic number, because the mean of its divisors is an integer number (25275607585725).

Almost surely, 2^{101102102110001} is an apocalyptic number.

It is an amenable number.

101102102110001 is a deficient number, since it is larger than the sum of its proper divisors (328232899).

101102102110001 is an equidigital number, since it uses as much as digits as its factorization.

101102102110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328232898.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102102110001 its reverse (100011201201101), we get a palindrome (201113303311102).

The spelling of 101102102110001 in words is "one hundred one trillion, one hundred two billion, one hundred two million, one hundred ten thousand, one".