101111132001 has 32 divisors (see below), whose sum is σ = 149780413440. Its totient is φ = 60154459200.

The previous prime is 101111131973. The next prime is 101111132009. The reversal of 101111132001 is 100231111101.

It is not a de Polignac number, because 101111132001 - 2¹⁰ = 101111130977 is a prime.

It is a super-3 number, since 3×101111132001³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101111132009) 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, 962610 + ... + 1062468.

It is an arithmetic number, because the mean of its divisors is an integer number (4680637920).

Almost surely, 2^101111132001 is an apocalyptic number.

101111132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111132001 is a deficient number, since it is larger than the sum of its proper divisors (48669281439).

101111132001 is a wasteful number, since it uses less digits than its factorization.

101111132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100437.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101111132001 its reverse (100231111101), we get a palindrome (201342243102).

The spelling of 101111132001 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-two thousand, one".