101112101021 has 8 divisors (see below), whose sum is σ = 102212640504. Its totient is φ = 100016815360.

The previous prime is 101112101003. The next prime is 101112101071. The reversal of 101112101021 is 120101211101.

101112101021 = 18829² + 18830² + ... + 19109².

It can be written as a sum of positive squares in 4 ways, for example, as 12873398521 + 88238702500 = 113461^2 + 297050^2 .

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 101112101021 - 2²² = 101107906717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112100993 and 101112101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274750 + ... + 1351743.

It is an arithmetic number, because the mean of its divisors is an integer number (12776580063).

Almost surely, 2^101112101021 is an apocalyptic number.

It is an amenable number.

101112101021 is a deficient number, since it is larger than the sum of its proper divisors (1100539483).

101112101021 is a wasteful number, since it uses less digits than its factorization.

101112101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626911.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112101021 its reverse (120101211101), we get a palindrome (221213312122).

The spelling of 101112101021 in words is "one hundred one billion, one hundred twelve million, one hundred one thousand, twenty-one".