101200111210123 has 8 divisors (see below), whose sum is σ = 101441967722096. Its totient is φ = 100958261695200.

The previous prime is 101200111210067. The next prime is 101200111210153. The reversal of 101200111210123 is 321012111002101.

It is a happy number.

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 101200111210123 - 2⁴⁵ = 66015739121291 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200111210097 and 101200111210106.

It is not an unprimeable number, because it can be changed into a prime (101200111210153) 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, 27807793 + ... + 31235773.

It is an arithmetic number, because the mean of its divisors is an integer number (12680245965262).

Almost surely, 2^{101200111210123} is an apocalyptic number.

101200111210123 is a deficient number, since it is larger than the sum of its proper divisors (241856511973).

101200111210123 is an equidigital number, since it uses as much as digits as its factorization.

101200111210123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498525.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101200111210123 its reverse (321012111002101), we get a palindrome (422212222212224).

The spelling of 101200111210123 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, two hundred ten thousand, one hundred twenty-three".