101201121000110 has 64 divisors (see below), whose sum is σ = 194336544729600. Its totient is φ = 37880963433600.

The previous prime is 101201121000061. The next prime is 101201121000299. The reversal of 101201121000110 is 11000121102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201121000091 and 101201121000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40438256 + ... + 42867875.

It is an arithmetic number, because the mean of its divisors is an integer number (3036508511400).

Almost surely, 2^{101201121000110} is an apocalyptic number.

101201121000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201121000110 is a deficient number, since it is larger than the sum of its proper divisors (93135423729490).

101201121000110 is a wasteful number, since it uses less digits than its factorization.

101201121000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83306297.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101201121000110 its reverse (11000121102101), we get a palindrome (112201242102211).

The spelling of 101201121000110 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one hundred ten", and thus it is an aban number.