101010023201021 has 16 divisors (see below), whose sum is σ = 110655039064320. Its totient is φ = 91442063623680.

The previous prime is 101010023201011. The next prime is 101010023201093. The reversal of 101010023201021 is 120102320010101.

It is a de Polignac number, because none of the positive numbers 2^k-101010023201021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010023200987 and 101010023201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010023201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339247205 + ... + 339544821.

It is an arithmetic number, because the mean of its divisors is an integer number (6915939941520).

Almost surely, 2^{101010023201021} is an apocalyptic number.

101010023201021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101010023201021 is a deficient number, since it is larger than the sum of its proper divisors (9645015863299).

101010023201021 is a wasteful number, since it uses less digits than its factorization.

101010023201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426964.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101010023201021 its reverse (120102320010101), we get a palindrome (221112343211122).

The spelling of 101010023201021 in words is "one hundred one trillion, ten billion, twenty-three million, two hundred one thousand, twenty-one".