10102101101111 has 8 divisors (see below), whose sum is σ = 10189571762304. Its totient is φ = 10014787339960.

The previous prime is 10102101101083. The next prime is 10102101101123. The reversal of 10102101101111 is 11110110120101.

It is a happy number.

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 10102101101111 - 2⁶ = 10102101101047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102101101092 and 10102101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102101101011) 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, 39095681 + ... + 39353226.

It is an arithmetic number, because the mean of its divisors is an integer number (1273696470288).

Almost surely, 2^{10102101101111} is an apocalyptic number.

10102101101111 is a deficient number, since it is larger than the sum of its proper divisors (87470661193).

10102101101111 is an equidigital number, since it uses as much as digits as its factorization.

10102101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78450021.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10102101101111 its reverse (11110110120101), we get a palindrome (21212211221212).

The spelling of 10102101101111 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred one thousand, one hundred eleven".