101203133322132 has 192 divisors, whose sum is σ = 269981528060160. Its totient is φ = 32770919098368.

The previous prime is 101203133322091. The next prime is 101203133322157. The reversal of 101203133322132 is 231223331302101.

101203133322132 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 313 + 332 + 2 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101203133322096 and 101203133322105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6916081888 + ... + 6916096520.

It is an arithmetic number, because the mean of its divisors is an integer number (1406153791980).

Almost surely, 2^{101203133322132} is an apocalyptic number.

101203133322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203133322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134990764030080).

101203133322132 is an abundant number, since it is smaller than the sum of its proper divisors (168778394738028).

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

101203133322132 is a wasteful number, since it uses less digits than its factorization.

101203133322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27879 (or 27871 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101203133322132 its reverse (231223331302101), we get a palindrome (332426464624233).

The spelling of 101203133322132 in words is "one hundred one trillion, two hundred three billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred thirty-two".