101112011101021 has 8 divisors (see below), whose sum is σ = 104599168617600. Its totient is φ = 97624889347440.

The previous prime is 101112011100973. The next prime is 101112011101093. The reversal of 101112011101021 is 120101110211101.

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

It is a cyclic number.

It is not a de Polignac number, because 101112011101021 - 2²¹ = 101112009003869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112011100992 and 101112011101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112011201021) 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, 3124545 + ... + 14559766.

It is an arithmetic number, because the mean of its divisors is an integer number (13074896077200).

Almost surely, 2^{101112011101021} is an apocalyptic number.

It is an amenable number.

101112011101021 is a deficient number, since it is larger than the sum of its proper divisors (3487157516579).

101112011101021 is a wasteful number, since it uses less digits than its factorization.

101112011101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17881499.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101112011101021 its reverse (120101110211101), we get a palindrome (221213121312122).

The spelling of 101112011101021 in words is "one hundred one trillion, one hundred twelve billion, eleven million, one hundred one thousand, twenty-one".