101102121110101 has 16 divisors (see below), whose sum is σ = 103070233747008. Its totient is φ = 99156589459200.

The previous prime is 101102121110071. The next prime is 101102121110153. The reversal of 101102121110101 is 101011121201101.

It is a cyclic number.

It is not a de Polignac number, because 101102121110101 - 2⁹ = 101102121109589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102121114101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665140 + ... + 14467453.

It is an arithmetic number, because the mean of its divisors is an integer number (6441889609188).

Almost surely, 2^{101102121110101} is an apocalyptic number.

It is an amenable number.

101102121110101 is a deficient number, since it is larger than the sum of its proper divisors (1968112636907).

101102121110101 is a wasteful number, since it uses less digits than its factorization.

101102121110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133252.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101102121110101 its reverse (101011121201101), we get a palindrome (202113242311202).

The spelling of 101102121110101 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".