102211110011013 has 8 divisors (see below), whose sum is σ = 136281561248928. Its totient is φ = 68140699390224.

The previous prime is 102211110010913. The next prime is 102211110011089. The reversal of 102211110011013 is 310110011112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102211110011013 - 2⁹ = 102211110010501 is a prime.

It is a super-2 number, since 2×102211110011013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211110010983 and 102211110011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211110013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3695706 + ... + 14767547.

It is an arithmetic number, because the mean of its divisors is an integer number (17035195156116).

Almost surely, 2^{102211110011013} is an apocalyptic number.

It is an amenable number.

102211110011013 is a deficient number, since it is larger than the sum of its proper divisors (34070451237915).

102211110011013 is a wasteful number, since it uses less digits than its factorization.

102211110011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308563.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 102211110011013 its reverse (310110011112201), we get a palindrome (412321121123214).

The spelling of 102211110011013 in words is "one hundred two trillion, two hundred eleven billion, one hundred ten million, eleven thousand, thirteen".