101032112001 has 8 divisors (see below), whose sum is σ = 141799455520. Its totient is φ = 63809754912.

The previous prime is 101032111981. The next prime is 101032112033. The reversal of 101032112001 is 100211230101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101032112001 - 2⁵ = 101032111969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101032112081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886246540 + ... + 886246653.

It is an arithmetic number, because the mean of its divisors is an integer number (17724931940).

Almost surely, 2^101032112001 is an apocalyptic number.

It is an amenable number.

101032112001 is a deficient number, since it is larger than the sum of its proper divisors (40767343519).

101032112001 is a wasteful number, since it uses less digits than its factorization.

101032112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772493215.

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

Adding to 101032112001 its reverse (100211230101), we get a palindrome (201243342102).

The spelling of 101032112001 in words is "one hundred one billion, thirty-two million, one hundred twelve thousand, one".