122122102222131 has 8 divisors (see below), whose sum is σ = 177632148686784. Its totient is φ = 74013395286120.

The previous prime is 122122102222121. The next prime is 122122102222151. The reversal of 122122102222131 is 131222201221221.

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

It is not a de Polignac number, because 122122102222131 - 2⁹ = 122122102221619 is a prime.

It is a super-2 number, since 2×122122102222131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122122102222121) 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, 1850334882121 + ... + 1850334882186.

It is an arithmetic number, because the mean of its divisors is an integer number (22204018585848).

Almost surely, 2^{122122102222131} is an apocalyptic number.

122122102222131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122122102222131 is a deficient number, since it is larger than the sum of its proper divisors (55510046464653).

122122102222131 is a wasteful number, since it uses less digits than its factorization.

122122102222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700669764321.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 122122102222131 its reverse (131222201221221), we get a palindrome (253344303443352).

The spelling of 122122102222131 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, one hundred thirty-one".