101121010110 has 48 divisors (see below), whose sum is σ = 262930505760. Its totient is φ = 26963974080.

The previous prime is 101121010099. The next prime is 101121010163. The reversal of 101121010110 is 11010121101.

It is a super-3 number, since 3×101121010110³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101121010092 and 101121010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560615 + ... + 2599805.

It is an arithmetic number, because the mean of its divisors is an integer number (5477718870).

Almost surely, 2^101121010110 is an apocalyptic number.

101121010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121010110 is an abundant number, since it is smaller than the sum of its proper divisors (161809495650).

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

101121010110 is a wasteful number, since it uses less digits than its factorization.

101121010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67873 (or 67870 counting only the distinct ones).

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

Adding to 101121010110 its reverse (11010121101), we get a palindrome (112131131211).

The spelling of 101121010110 in words is "one hundred one billion, one hundred twenty-one million, ten thousand, one hundred ten".