101123111211201 has 24 divisors (see below), whose sum is σ = 151109091405480. Its totient is φ = 65088329435136.

The previous prime is 101123111211193. The next prime is 101123111211229. The reversal of 101123111211201 is 102112111321101.

101123111211201 is a `hidden beast` number, since 1 + 0 + 11 + 231 + 11 + 211 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47121909411600 + 54001201799601 = 6864540^2 + 7348551^2 .

It is not a de Polignac number, because 101123111211201 - 2³ = 101123111211193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101123111219201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89506 + ... + 14221611.

It is an arithmetic number, because the mean of its divisors is an integer number (6296212141895).

Almost surely, 2^{101123111211201} is an apocalyptic number.

It is an amenable number.

101123111211201 is a deficient number, since it is larger than the sum of its proper divisors (49985980194279).

101123111211201 is a wasteful number, since it uses less digits than its factorization.

101123111211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338225 (or 14338222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101123111211201 its reverse (102112111321101), we get a palindrome (203235222532302).

The spelling of 101123111211201 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred eleven million, two hundred eleven thousand, two hundred one".