101102121000101 has 16 divisors (see below), whose sum is σ = 109295343843840. Its totient is φ = 92968360193280.

The previous prime is 101102121000091. The next prime is 101102121000113. The reversal of 101102121000101 is 101000121201101.

It is not a de Polignac number, because 101102121000101 - 2⁶ = 101102121000037 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 (101102121000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192463316 + ... + 192987906.

It is an arithmetic number, because the mean of its divisors is an integer number (6830958990240).

Almost surely, 2^{101102121000101} is an apocalyptic number.

It is an amenable number.

101102121000101 is a deficient number, since it is larger than the sum of its proper divisors (8193222843739).

101102121000101 is a wasteful number, since it uses less digits than its factorization.

101102121000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581236.

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

Adding to 101102121000101 its reverse (101000121201101), we get a palindrome (202102242201202).

The spelling of 101102121000101 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.