101021021013 has 16 divisors (see below), whose sum is σ = 146978588736. Its totient is φ = 61208643840.

The previous prime is 101021020999. The next prime is 101021021021. The reversal of 101021021013 is 310120120101.

It is not a de Polignac number, because 101021021013 - 2¹⁰ = 101021019989 is a prime.

It is a super-3 number, since 3×101021021013³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101021021013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021021033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278370 + ... + 528707.

It is an arithmetic number, because the mean of its divisors is an integer number (9186161796).

Almost surely, 2^101021021013 is an apocalyptic number.

It is an amenable number.

101021021013 is a deficient number, since it is larger than the sum of its proper divisors (45957567723).

101021021013 is a wasteful number, since it uses less digits than its factorization.

101021021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810884.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101021021013 its reverse (310120120101), we get a palindrome (411141141114).

The spelling of 101021021013 in words is "one hundred one billion, twenty-one million, twenty-one thousand, thirteen".