1001101101102 has 24 divisors (see below), whose sum is σ = 2177694038520. Its totient is φ = 332370882000.

The previous prime is 1001101101101. The next prime is 1001101101127. The reversal of 1001101101102 is 2011011011001.

It is a super-2 number, since 2×1001101101102² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101101101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 110785777 + ... + 110794812.

It is an arithmetic number, because the mean of its divisors is an integer number (90737251605).

Almost surely, 2^{1001101101102} is an apocalyptic number.

1001101101102 is an abundant number, since it is smaller than the sum of its proper divisors (1176592937418).

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

1001101101102 is a wasteful number, since it uses less digits than its factorization.

1001101101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221580848 (or 221580845 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001101101102 its reverse (2011011011001), we get a palindrome (3012112112103).

The spelling of 1001101101102 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, one hundred two".