102210122113011 has 48 divisors (see below), whose sum is σ = 164604264334848. Its totient is φ = 60583633588800.

The previous prime is 102210122112911. The next prime is 102210122113039. The reversal of 102210122113011 is 110311221012201.

It is a happy number.

102210122113011 is a `hidden beast` number, since 10 + 221 + 0 + 122 + 11 + 301 + 1 = 666.

It is not a de Polignac number, because 102210122113011 - 2¹⁷ = 102210121981939 is a prime.

It is a super-3 number, since 3×102210122113011³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102210122113111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1527321 + ... + 14378906.

It is an arithmetic number, because the mean of its divisors is an integer number (3429255506976).

Almost surely, 2^{102210122113011} is an apocalyptic number.

102210122113011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102210122113011 is a deficient number, since it is larger than the sum of its proper divisors (62394142221837).

102210122113011 is a wasteful number, since it uses less digits than its factorization.

102210122113011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15907672 (or 15907669 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102210122113011 its reverse (110311221012201), we get a palindrome (212521343125212).

The spelling of 102210122113011 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two million, one hundred thirteen thousand, eleven".