101022010210021 has 8 divisors (see below), whose sum is σ = 104505648363000. Its totient is φ = 97538380094400.

The previous prime is 101022010210001. The next prime is 101022010210031. The reversal of 101022010210021 is 120012010220101.

It can be written as a sum of positive squares in 4 ways, for example, as 57278998387521 + 43743011822500 = 7568289^2 + 6613850^2 .

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 101022010210021 - 2⁷ = 101022010209893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022010209983 and 101022010210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022010210001) 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, 35311155 + ... + 38064703.

It is an arithmetic number, because the mean of its divisors is an integer number (13063206045375).

Almost surely, 2^{101022010210021} is an apocalyptic number.

It is an amenable number.

101022010210021 is a deficient number, since it is larger than the sum of its proper divisors (3483638152979).

101022010210021 is a wasteful number, since it uses less digits than its factorization.

101022010210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018679.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022010210021 its reverse (120012010220101), we get a palindrome (221034020430122).

The spelling of 101022010210021 in words is "one hundred one trillion, twenty-two billion, ten million, two hundred ten thousand, twenty-one".