101021111021 has 8 divisors (see below), whose sum is σ = 101426007480. Its totient is φ = 100616306688.

The previous prime is 101021110997. The next prime is 101021111053. The reversal of 101021111021 is 120111120101.

It can be written as a sum of positive squares in 4 ways, for example, as 66504673225 + 34516437796 = 257885^2 + 185786^2 .

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 101021111021 - 2³⁴ = 83841241837 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 = 101021110993 and 101021111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021111621) 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, 2922125 + ... + 2956493.

It is an arithmetic number, because the mean of its divisors is an integer number (12678250935).

Almost surely, 2^101021111021 is an apocalyptic number.

It is an amenable number.

101021111021 is a deficient number, since it is larger than the sum of its proper divisors (404896459).

101021111021 is a wasteful number, since it uses less digits than its factorization.

101021111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46063.

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

Adding to 101021111021 its reverse (120111120101), we get a palindrome (221132231122).

The spelling of 101021111021 in words is "one hundred one billion, twenty-one million, one hundred eleven thousand, twenty-one".