101101002112110 has 384 divisors, whose sum is σ = 333064171206144. Its totient is φ = 19306563978240.

The previous prime is 101101002112109. The next prime is 101101002112127. The reversal of 101101002112110 is 11211200101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46658304 + ... + 48777036.

It is an arithmetic number, because the mean of its divisors is an integer number (867354612516).

Almost surely, 2^{101101002112110} is an apocalyptic number.

101101002112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101002112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166532085603072).

101101002112110 is an abundant number, since it is smaller than the sum of its proper divisors (231963169094034).

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

101101002112110 is a wasteful number, since it uses less digits than its factorization.

101101002112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119008 (or 2119001 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101002112110 its reverse (11211200101101), we get a palindrome (112312202213211).

The spelling of 101101002112110 in words is "one hundred one trillion, one hundred one billion, two million, one hundred twelve thousand, one hundred ten".