101112000201021 has 8 divisors (see below), whose sum is σ = 135708821462464. Its totient is φ = 66961589536800.

The previous prime is 101112000200987. The next prime is 101112000201083. The reversal of 101112000201021 is 120102000211101.

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

It is not a de Polignac number, because 101112000201021 - 2³⁵ = 101077640462653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112000200988 and 101112000201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112000201721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111602648776 + ... + 111602649681.

It is an arithmetic number, because the mean of its divisors is an integer number (16963602682808).

Almost surely, 2^{101112000201021} is an apocalyptic number.

It is an amenable number.

101112000201021 is a deficient number, since it is larger than the sum of its proper divisors (34596821261443).

101112000201021 is a wasteful number, since it uses less digits than its factorization.

101112000201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223205298611.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112000201021 its reverse (120102000211101), we get a palindrome (221214000412122).

The spelling of 101112000201021 in words is "one hundred one trillion, one hundred twelve billion, two hundred one thousand, twenty-one".