101132330211000 has 384 divisors, whose sum is σ = 374229641073600. Its totient is φ = 24429672960000.

The previous prime is 101132330210987. The next prime is 101132330211001. The reversal of 101132330211000 is 112033231101.

101132330211000 is a `hidden beast` number, since 10 + 113 + 2 + 330 + 211 + 0 + 0 + 0 = 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 (101132330211001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26001316 + ... + 29636684.

Almost surely, 2^{101132330211000} is an apocalyptic number.

101132330211000 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 101132330211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187114820536800).

101132330211000 is an abundant number, since it is smaller than the sum of its proper divisors (273097310862600).

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

101132330211000 is a wasteful number, since it uses less digits than its factorization.

101132330211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635688 (or 3635671 counting only the distinct ones).

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

Adding to 101132330211000 its reverse (112033231101), we get a palindrome (101244363442101).

The spelling of 101132330211000 in words is "one hundred one trillion, one hundred thirty-two billion, three hundred thirty million, two hundred eleven thousand".