101132132110301 has 16 divisors (see below), whose sum is σ = 111748518604800. Its totient is φ = 91094997624048.

The previous prime is 101132132110291. The next prime is 101132132110381. The reversal of 101132132110301 is 103011231231101.

It is a cyclic number.

It is not a de Polignac number, because 101132132110301 - 2²⁶ = 101132065001437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132132110381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692812181 + ... + 692958138.

It is an arithmetic number, because the mean of its divisors is an integer number (6984282412800).

Almost surely, 2^{101132132110301} is an apocalyptic number.

It is an amenable number.

101132132110301 is a deficient number, since it is larger than the sum of its proper divisors (10616386494499).

101132132110301 is a wasteful number, since it uses less digits than its factorization.

101132132110301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385770528.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101132132110301 its reverse (103011231231101), we get a palindrome (204143363341402).

The spelling of 101132132110301 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred ten thousand, three hundred one".