101101102122 has 32 divisors (see below), whose sum is σ = 213958840320. Its totient is φ = 31759501680.

The previous prime is 101101102087. The next prime is 101101102127. The reversal of 101101102122 is 221201101101.

101101102122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101101102098 and 101101102107.

It is not an unprimeable number, because it can be changed into a prime (101101102127) 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, 2299828 + ... + 2343375.

It is an arithmetic number, because the mean of its divisors is an integer number (6686213760).

Almost surely, 2^101101102122 is an apocalyptic number.

101101102122 is an abundant number, since it is smaller than the sum of its proper divisors (112857738198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101102122 is a wasteful number, since it uses less digits than its factorization.

101101102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643418.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101102122 its reverse (221201101101), we get a palindrome (322302203223).

The spelling of 101101102122 in words is "one hundred one billion, one hundred one million, one hundred two thousand, one hundred twenty-two".