101121210201123 has 160 divisors (see below), whose sum is σ = 184639390341120. Its totient is φ = 53835414082560.

The previous prime is 101121210201071. The next prime is 101121210201169. The reversal of 101121210201123 is 321102012121101.

It is a happy number.

101121210201123 is a `hidden beast` number, since 10 + 1 + 121 + 210 + 201 + 123 = 666.

It is not a de Polignac number, because 101121210201123 - 2³⁶ = 101052490724387 is a prime.

It is a super-2 number, since 2×101121210201123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121210201096 and 101121210201105.

It is not an unprimeable number, because it can be changed into a prime (101121210241123) 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 159 ways as a sum of consecutive naturals, for example, 2721292818 + ... + 2721329976.

It is an arithmetic number, because the mean of its divisors is an integer number (1153996189632).

Almost surely, 2^{101121210201123} is an apocalyptic number.

101121210201123 is a deficient number, since it is larger than the sum of its proper divisors (83518180139997).

101121210201123 is a wasteful number, since it uses less digits than its factorization.

101121210201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40039 (or 40030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101121210201123 its reverse (321102012121101), we get a palindrome (422223222322224).

The spelling of 101121210201123 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred ten million, two hundred one thousand, one hundred twenty-three".