101001033132000 has 192 divisors, whose sum is σ = 330890117935104. Its totient is φ = 26932735142400.

The previous prime is 101001033131989. The next prime is 101001033132001. The reversal of 101001033132000 is 231330100101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001033132001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424957197 + ... + 425194803.

It is an arithmetic number, because the mean of its divisors is an integer number (1723386030912).

Almost surely, 2^{101001033132000} is an apocalyptic number.

101001033132000 is a gapful number since it is divisible by the number (10) 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 101001033132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165445058967552).

101001033132000 is an abundant number, since it is smaller than the sum of its proper divisors (229889084803104).

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

101001033132000 is a wasteful number, since it uses less digits than its factorization.

101001033132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273058 (or 273040 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101001033132000 its reverse (231330100101), we get a palindrome (101232363232101).

The spelling of 101001033132000 in words is "one hundred one trillion, one billion, thirty-three million, one hundred thirty-two thousand".