101101101101102 has 8 divisors (see below), whose sum is σ = 158245201723536. Its totient is φ = 48352700526592.

The previous prime is 101101101101087. The next prime is 101101101101173. The reversal of 101101101101102 is 201101101101101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×101101101101102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1098925011923 + ... + 1098925012014.

It is an arithmetic number, because the mean of its divisors is an integer number (19780650215442).

Almost surely, 2^{101101101101102} is an apocalyptic number.

101101101101102 is a deficient number, since it is larger than the sum of its proper divisors (57144100622434).

101101101101102 is a wasteful number, since it uses less digits than its factorization.

101101101101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197850023962.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101101101102 its reverse (201101101101101), we get a palindrome (302202202202203).

Subtracting 101101101101102 from its reverse (201101101101101), we obtain a palindrome (99999999999999).

The spelling of 101101101101102 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred two".