101032011111132 has 144 divisors (see below), whose sum is σ = 265219607016000. Its totient is φ = 32389726752768.

The previous prime is 101032011111011. The next prime is 101032011111167. The reversal of 101032011111132 is 231111110230101.

101032011111132 is a `hidden beast` number, since 101 + 0 + 320 + 1 + 1 + 111 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878485113 + ... + 1878538895.

It is an arithmetic number, because the mean of its divisors is an integer number (1841802826500).

Almost surely, 2^{101032011111132} is an apocalyptic number.

101032011111132 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 101032011111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132609803508000).

101032011111132 is an abundant number, since it is smaller than the sum of its proper divisors (164187595904868).

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

101032011111132 is a wasteful number, since it uses less digits than its factorization.

101032011111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60780 (or 60775 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101032011111132 its reverse (231111110230101), we get a palindrome (332143121341233).

The spelling of 101032011111132 in words is "one hundred one trillion, thirty-two billion, eleven million, one hundred eleven thousand, one hundred thirty-two".