101101211221122 has 32 divisors (see below), whose sum is σ = 256764980880000. Its totient is φ = 28886060348784.

The previous prime is 101101211221117. The next prime is 101101211221151. The reversal of 101101211221122 is 221122112101101.

It is a happy number.

101101211221122 is a `hidden beast` number, since 1 + 0 + 110 + 1 + 211 + 221 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101101211221095 and 101101211221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133731760497 + ... + 133731761252.

It is an arithmetic number, because the mean of its divisors is an integer number (8023905652500).

Almost surely, 2^{101101211221122} is an apocalyptic number.

101101211221122 is an abundant number, since it is smaller than the sum of its proper divisors (155663769658878).

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

101101211221122 is a wasteful number, since it uses less digits than its factorization.

101101211221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267463521767 (or 267463521761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101101211221122 its reverse (221122112101101), we get a palindrome (322223323322223).

The spelling of 101101211221122 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".