10101110102021 has 8 divisors (see below), whose sum is σ = 10646583193080. Its totient is φ = 9568780940992.

The previous prime is 10101110101987. The next prime is 10101110102087. The reversal of 10101110102021 is 12020101110101.

It can be written as a sum of positive squares in 4 ways, for example, as 3160256399521 + 6940853702500 = 1777711^2 + 2634550^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101110102021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101110101993 and 10101110102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3285980930 + ... + 3285984003.

It is an arithmetic number, because the mean of its divisors is an integer number (1330822899135).

Almost surely, 2^{10101110102021} is an apocalyptic number.

It is an amenable number.

10101110102021 is a deficient number, since it is larger than the sum of its proper divisors (545473091059).

10101110102021 is an equidigital number, since it uses as much as digits as its factorization.

10101110102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571965015.

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

Adding to 10101110102021 its reverse (12020101110101), we get a palindrome (22121211212122).

The spelling of 10101110102021 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred two thousand, twenty-one".