122002012102113 has 120 divisors (see below), whose sum is σ = 216248824915200. Its totient is φ = 68089949421120.

The previous prime is 122002012102073. The next prime is 122002012102133. The reversal of 122002012102113 is 311201210200221.

122002012102113 is a `hidden beast` number, since 1 + 220 + 0 + 20 + 1 + 210 + 211 + 3 = 666.

It is not a de Polignac number, because 122002012102113 - 2⁶ = 122002012102049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122002012102133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52243408 + ... + 54528686.

It is an arithmetic number, because the mean of its divisors is an integer number (1802073540960).

Almost surely, 2^{122002012102113} is an apocalyptic number.

122002012102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122002012102113 is a deficient number, since it is larger than the sum of its proper divisors (94246812813087).

122002012102113 is a wasteful number, since it uses less digits than its factorization.

122002012102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285745 (or 2285725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122002012102113 its reverse (311201210200221), we get a palindrome (433203222302334).

The spelling of 122002012102113 in words is "one hundred twenty-two trillion, two billion, twelve million, one hundred two thousand, one hundred thirteen".