10110101002021 has 8 divisors (see below), whose sum is σ = 10210288476024. Its totient is φ = 10009915243200.

The previous prime is 10110101002019. The next prime is 10110101002061. The reversal of 10110101002021 is 12020010101101.

It can be written as a sum of positive squares in 4 ways, for example, as 1363359816900 + 8746741185121 = 1167630^2 + 2957489^2 .

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 10110101002021 - 2¹ = 10110101002019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10110101001989 and 10110101002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110101002061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13720051 + ... + 14438143.

It is an arithmetic number, because the mean of its divisors is an integer number (1276286059503).

Almost surely, 2^{10110101002021} is an apocalyptic number.

It is an amenable number.

10110101002021 is a deficient number, since it is larger than the sum of its proper divisors (100187474003).

10110101002021 is a wasteful number, since it uses less digits than its factorization.

10110101002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857591.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10110101002021 its reverse (12020010101101), we get a palindrome (22130111103122).

The spelling of 10110101002021 in words is "ten trillion, one hundred ten billion, one hundred one million, two thousand, twenty-one".