10101132333123 has 32 divisors (see below), whose sum is σ = 14550884554752. Its totient is φ = 6196095388800.

The previous prime is 10101132333107. The next prime is 10101132333209. The reversal of 10101132333123 is 32133323110101.

10101132333123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101132333123 - 2⁴ = 10101132333107 is a prime.

It is a super-2 number, since 2×10101132333123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101132333093 and 10101132333102.

It is not an unprimeable number, because it can be changed into a prime (10101132331123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18506658 + ... + 19044648.

It is an arithmetic number, because the mean of its divisors is an integer number (454715142336).

Almost surely, 2^{10101132333123} is an apocalyptic number.

10101132333123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10101132333123 is a deficient number, since it is larger than the sum of its proper divisors (4449752221629).

10101132333123 is a wasteful number, since it uses less digits than its factorization.

10101132333123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539555.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10101132333123 its reverse (32133323110101), we get a palindrome (42234455443224).

The spelling of 10101132333123 in words is "ten trillion, one hundred one billion, one hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty-three".