1001101102122 has 32 divisors (see below), whose sum is σ = 2185063962624. Its totient is φ = 303246834800.

The previous prime is 1001101102117. The next prime is 1001101102187. The reversal of 1001101102122 is 2212011011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001101102098 and 1001101102107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2756088 + ... + 3098099.

It is an arithmetic number, because the mean of its divisors is an integer number (68283248832).

Almost surely, 2^{1001101102122} is an apocalyptic number.

1001101102122 is an abundant number, since it is smaller than the sum of its proper divisors (1183962860502).

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

1001101102122 is a wasteful number, since it uses less digits than its factorization.

1001101102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856794.

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

Adding to 1001101102122 its reverse (2212011011001), we get a palindrome (3213112113123).

The spelling of 1001101102122 in words is "one trillion, one billion, one hundred one million, one hundred two thousand, one hundred twenty-two".