101200012110101 has 8 divisors (see below), whose sum is σ = 101219590912608. Its totient is φ = 101180433910000.

The previous prime is 101200012110019. The next prime is 101200012110149. The reversal of 101200012110101 is 101011210002101.

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

It is a cyclic number.

It is not a de Polignac number, because 101200012110101 - 2²⁶ = 101199945001237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200012110601) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 480744011 + ... + 480954471.

It is an arithmetic number, because the mean of its divisors is an integer number (12652448864076).

Almost surely, 2^{101200012110101} is an apocalyptic number.

It is an amenable number.

101200012110101 is a deficient number, since it is larger than the sum of its proper divisors (19578802507).

101200012110101 is an equidigital number, since it uses as much as digits as its factorization.

101200012110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301203.

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

Adding to 101200012110101 its reverse (101011210002101), we get a palindrome (202211222112202).

The spelling of 101200012110101 in words is "one hundred one trillion, two hundred billion, twelve million, one hundred ten thousand, one hundred one".