101112010101021 has 8 divisors (see below), whose sum is σ = 141911593124320. Its totient is φ = 63860216905872.

The previous prime is 101112010101019. The next prime is 101112010101049. The reversal of 101112010101021 is 120101010211101.

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

It is not a de Polignac number, because 101112010101021 - 2¹ = 101112010101019 is a prime.

It is a super-3 number, since 3×101112010101021³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112010100988 and 101112010101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112010101121) 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, 886947456970 + ... + 886947457083.

It is an arithmetic number, because the mean of its divisors is an integer number (17738949140540).

Almost surely, 2^{101112010101021} is an apocalyptic number.

It is an amenable number.

101112010101021 is a deficient number, since it is larger than the sum of its proper divisors (40799583023299).

101112010101021 is a wasteful number, since it uses less digits than its factorization.

101112010101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773894914075.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112010101021 its reverse (120101010211101), we get a palindrome (221213020312122).

The spelling of 101112010101021 in words is "one hundred one trillion, one hundred twelve billion, ten million, one hundred one thousand, twenty-one".