101021112001 has 32 divisors (see below), whose sum is σ = 112062859776. Its totient is φ = 90664704000.

The previous prime is 101021111981. The next prime is 101021112013. The reversal of 101021112001 is 100211120101.

It is a cyclic number.

It is not a de Polignac number, because 101021112001 - 2⁹ = 101021111489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021182001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10005966 + ... + 10016056.

It is an arithmetic number, because the mean of its divisors is an integer number (3501964368).

Almost surely, 2^101021112001 is an apocalyptic number.

It is an amenable number.

101021112001 is a deficient number, since it is larger than the sum of its proper divisors (11041747775).

101021112001 is a wasteful number, since it uses less digits than its factorization.

101021112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021112001 its reverse (100211120101), we get a palindrome (201232232102).

The spelling of 101021112001 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, one".