101010032011123 has 8 divisors (see below), whose sum is σ = 102311804178000. Its totient is φ = 99716577877728.

The previous prime is 101010032011067. The next prime is 101010032011157. The reversal of 101010032011123 is 321110230010101.

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 101010032011123 - 2⁹ = 101010032010611 is a prime.

It is a super-2 number, since 2×101010032011123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010032011097 and 101010032011106.

It is not an unprimeable number, because it can be changed into a prime (101010032011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2079483928 + ... + 2079532501.

It is an arithmetic number, because the mean of its divisors is an integer number (12788975522250).

Almost surely, 2^{101010032011123} is an apocalyptic number.

101010032011123 is a deficient number, since it is larger than the sum of its proper divisors (1301772166877).

101010032011123 is a wasteful number, since it uses less digits than its factorization.

101010032011123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159016741.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101010032011123 its reverse (321110230010101), we get a palindrome (422120262021224).

The spelling of 101010032011123 in words is "one hundred one trillion, ten billion, thirty-two million, eleven thousand, one hundred twenty-three".