101132222231101 has 32 divisors (see below), whose sum is σ = 112876133846400. Its totient is φ = 90222785452800.

The previous prime is 101132222231099. The next prime is 101132222231129.

It is a happy number.

101132222231101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101132222231101 - 2¹ = 101132222231099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132220231101) 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 31 ways as a sum of consecutive naturals, for example, 9833010 + ... + 17290243.

It is an arithmetic number, because the mean of its divisors is an integer number (3527379182700).

Almost surely, 2^{101132222231101} is an apocalyptic number.

It is an amenable number.

101132222231101 is a deficient number, since it is larger than the sum of its proper divisors (11743911615299).

101132222231101 is a wasteful number, since it uses less digits than its factorization.

101132222231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27123469.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 101132222231101 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-one thousand, one hundred one".