101111322132000 has 288 divisors, whose sum is σ = 368542575810864. Its totient is φ = 26234288640000.

The previous prime is 101111322131971. The next prime is 101111322132103. The reversal of 101111322132000 is 231223111101.

101111322132000 is a `hidden beast` number, since 1 + 0 + 11 + 11 + 322 + 1 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14817849564816 + 86293472567184 = 3849396^2 + 9289428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 36622701 + ... + 39286700.

Almost surely, 2^{101111322132000} is an apocalyptic number.

101111322132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111322132000 is an abundant number, since it is smaller than the sum of its proper divisors (267431253678864).

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

101111322132000 is a wasteful number, since it uses less digits than its factorization.

101111322132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75909469 (or 75909448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101111322132000 its reverse (231223111101), we get a palindrome (101342545243101).

The spelling of 101111322132000 in words is "one hundred one trillion, one hundred eleven billion, three hundred twenty-two million, one hundred thirty-two thousand".