10102110120101 has 8 divisors (see below), whose sum is σ = 10113642843864. Its totient is φ = 10090579000320.

The previous prime is 10102110120029. The next prime is 10102110120121. The reversal of 10102110120101 is 10102101120101.

It can be written as a sum of positive squares in 4 ways, for example, as 657250704100 + 9444859416001 = 810710^2 + 3073249^2 .

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 10102110120101 - 2¹⁴ = 10102110103717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102110120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12436661 + ... + 13224021.

It is an arithmetic number, because the mean of its divisors is an integer number (1264205355483).

Almost surely, 2^{10102110120101} is an apocalyptic number.

It is an amenable number.

10102110120101 is a deficient number, since it is larger than the sum of its proper divisors (11532723763).

10102110120101 is an equidigital number, since it uses as much as digits as its factorization.

10102110120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801991.

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

Adding to 10102110120101 its reverse (10102101120101), we get a palindrome (20204211240202).

Subtracting from 10102110120101 its reverse (10102101120101), we obtain a square (9000000 = 3000²).

The spelling of 10102110120101 in words is "ten trillion, one hundred two billion, one hundred ten million, one hundred twenty thousand, one hundred one".