101101122132 has 24 divisors (see below), whose sum is σ = 235907806176. Its totient is φ = 33699632928.

The previous prime is 101101122077. The next prime is 101101122137. The reversal of 101101122132 is 231221101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101122137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908698 + ... + 1013870.

It is an arithmetic number, because the mean of its divisors is an integer number (9829491924).

Almost surely, 2^101101122132 is an apocalyptic number.

101101122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101122132 is an abundant number, since it is smaller than the sum of its proper divisors (134806684044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101122132 is a wasteful number, since it uses less digits than its factorization.

101101122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185287 (or 185285 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101101122132 its reverse (231221101101), we get a palindrome (332322223233).

The spelling of 101101122132 in words is "one hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred thirty-two".