101102120000122 has 8 divisors (see below), whose sum is σ = 151717521619476. Its totient is φ = 50529612793632.

The previous prime is 101102120000117. The next prime is 101102120000153. The reversal of 101102120000122 is 221000021201101.

It can be written as a sum of positive squares in 2 ways, for example, as 95874627650481 + 5227492349641 = 9791559^2 + 2286371^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10723597323 + ... + 10723606750.

Almost surely, 2^{101102120000122} is an apocalyptic number.

101102120000122 is a deficient number, since it is larger than the sum of its proper divisors (50615401619354).

101102120000122 is a wasteful number, since it uses less digits than its factorization.

101102120000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21447206432.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102120000122 its reverse (221000021201101), we get a palindrome (322102141201223).

The spelling of 101102120000122 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, one hundred twenty-two", and thus it is an aban number.