10101101109975 has 192 divisors, whose sum is σ = 20098166412800. Its totient is φ = 5020015305600.

The previous prime is 10101101109923. The next prime is 10101101109997. The reversal of 10101101109975 is 57990110110101.

It is not a de Polignac number, because 10101101109975 - 2¹¹ = 10101101107927 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63288624 + ... + 63448026.

Almost surely, 2^{10101101109975} is an apocalyptic number.

10101101109975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10101101109975 is a deficient number, since it is larger than the sum of its proper divisors (9997065302825).

10101101109975 is an equidigital number, since it uses as much as digits as its factorization.

10101101109975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159514 (or 159491 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 36.

The spelling of 10101101109975 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred nine thousand, nine hundred seventy-five".