10102101102101 has 8 divisors (see below), whose sum is σ = 10156159152960. Its totient is φ = 10048060737792.

The previous prime is 10102101102089. The next prime is 10102101102109. The reversal of 10102101102101 is 10120110120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102101102101 is a prime.

It is a super-2 number, since 2×10102101102101² (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 (10102101102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3275441 + ... + 5561718.

It is an arithmetic number, because the mean of its divisors is an integer number (1269519894120).

Almost surely, 2^{10102101102101} is an apocalyptic number.

It is an amenable number.

10102101102101 is a deficient number, since it is larger than the sum of its proper divisors (54058050859).

10102101102101 is an equidigital number, since it uses as much as digits as its factorization.

10102101102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843275.

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

Adding to 10102101102101 its reverse (10120110120101), we get a palindrome (20222211222202).

The spelling of 10102101102101 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred two thousand, one hundred one".