102211303013 has 16 divisors (see below), whose sum is σ = 111195581760. Its totient is φ = 93559424256.

The previous prime is 102211303001. The next prime is 102211303037. The reversal of 102211303013 is 310303112201.

It is not a de Polignac number, because 102211303013 - 2¹⁴ = 102211286629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102211302982 and 102211303000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211303043) 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, 1513670 + ... + 1579752.

It is an arithmetic number, because the mean of its divisors is an integer number (6949723860).

Almost surely, 2^102211303013 is an apocalyptic number.

It is an amenable number.

102211303013 is a deficient number, since it is larger than the sum of its proper divisors (8984278747).

102211303013 is a wasteful number, since it uses less digits than its factorization.

102211303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68596.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102211303013 its reverse (310303112201), we get a palindrome (412514415214).

It can be divided in two parts, 102211 and 303013, that added together give a cube (405224 = 74³).

The spelling of 102211303013 in words is "one hundred two billion, two hundred eleven million, three hundred three thousand, thirteen".