101101002001122 has 32 divisors (see below), whose sum is σ = 203288041612800. Its totient is φ = 33519740519808.

The previous prime is 101101002001121. The next prime is 101101002001147. The reversal of 101101002001122 is 221100200101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101002001098 and 101101002001107.

It is not an unprimeable number, because it can be changed into a prime (101101002001121) 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, 50618347 + ... + 52577742.

It is an arithmetic number, because the mean of its divisors is an integer number (6352751300400).

Almost surely, 2^{101101002001122} is an apocalyptic number.

101101002001122 is an abundant number, since it is smaller than the sum of its proper divisors (102187039611678).

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

101101002001122 is a wasteful number, since it uses less digits than its factorization.

101101002001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103196970.

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

Adding to 101101002001122 its reverse (221100200101101), we get a palindrome (322201202102223).

The spelling of 101101002001122 in words is "one hundred one trillion, one hundred one billion, two million, one thousand, one hundred twenty-two".