101021102202013 has 16 divisors (see below), whose sum is σ = 126187378412544. Its totient is φ = 78867111502080.

The previous prime is 101021102202011. The next prime is 101021102202019. The reversal of 101021102202013 is 310202201120101.

It is a cyclic number.

It is not a de Polignac number, because 101021102202013 - 2¹ = 101021102202011 is a prime.

It is a super-2 number, since 2×101021102202013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021102202011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13692203170 + ... + 13692210547.

It is an arithmetic number, because the mean of its divisors is an integer number (7886711150784).

Almost surely, 2^{101021102202013} is an apocalyptic number.

It is an amenable number.

101021102202013 is a deficient number, since it is larger than the sum of its proper divisors (25166276210531).

101021102202013 is a wasteful number, since it uses less digits than its factorization.

101021102202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27384413772.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101021102202013 its reverse (310202201120101), we get a palindrome (411223303322114).

The spelling of 101021102202013 in words is "one hundred one trillion, twenty-one billion, one hundred two million, two hundred two thousand, thirteen".