122100220201122 has 48 divisors (see below), whose sum is σ = 265344754970880. Its totient is φ = 40577915786496.

The previous prime is 122100220201121. The next prime is 122100220201123. The reversal of 122100220201122 is 221102022001221.

It is a happy number.

122100220201122 is a `hidden beast` number, since 1 + 22 + 100 + 220 + 201 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (122100220201121) and next prime (122100220201123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122100220201095 and 122100220201104.

It is not an unprimeable number, because it can be changed into a prime (122100220201121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36039079 + ... + 39281237.

It is an arithmetic number, because the mean of its divisors is an integer number (5528015728560).

Almost surely, 2^{122100220201122} is an apocalyptic number.

122100220201122 is an abundant number, since it is smaller than the sum of its proper divisors (143244534769758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122100220201122 is a wasteful number, since it uses less digits than its factorization.

122100220201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248447 (or 3248444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122100220201122 its reverse (221102022001221), we get a palindrome (343202242202343).

The spelling of 122100220201122 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twenty million, two hundred one thousand, one hundred twenty-two".