101021002120021 has 8 divisors (see below), whose sum is σ = 107430503157720. Its totient is φ = 94663399876608.

The previous prime is 101021002119997. The next prime is 101021002120033. The reversal of 101021002120021 is 120021200120101.

It can be written as a sum of positive squares in 4 ways, for example, as 40745420969796 + 60275581150225 = 6383214^2 + 7763735^2 .

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 101021002120021 - 2¹⁹ = 101021001595733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021002119983 and 101021002120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021002120061) 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, 12974694556 + ... + 12974702341.

It is an arithmetic number, because the mean of its divisors is an integer number (13428812894715).

Almost surely, 2^{101021002120021} is an apocalyptic number.

It is an amenable number.

101021002120021 is a deficient number, since it is larger than the sum of its proper divisors (6409501037699).

101021002120021 is a wasteful number, since it uses less digits than its factorization.

101021002120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25949397143.

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

Adding to 101021002120021 its reverse (120021200120101), we get a palindrome (221042202240122).

The spelling of 101021002120021 in words is "one hundred one trillion, twenty-one billion, two million, one hundred twenty thousand, twenty-one".