101132133102 has 192 divisors, whose sum is σ = 311509545984. Its totient is φ = 22821073920.

The previous prime is 101132133101. The next prime is 101132133107. The reversal of 101132133102 is 201331231101.

101132133102 is a `hidden beast` number, since 1 + 0 + 11 + 321 + 331 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141223 + ... + 471389.

It is an arithmetic number, because the mean of its divisors is an integer number (1622445552).

Almost surely, 2^101132133102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132133102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155754772992).

101132133102 is an abundant number, since it is smaller than the sum of its proper divisors (210377412882).

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

101132133102 is a wasteful number, since it uses less digits than its factorization.

101132133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330223 (or 330220 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101132133102 its reverse (201331231101), we get a palindrome (302463364203).

The spelling of 101132133102 in words is "one hundred one billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred two".