120100102122 has 256 divisors, whose sum is σ = 334564909056. Its totient is φ = 27734400000.

The previous prime is 120100102121. The next prime is 120100102141. The reversal of 120100102122 is 221201001021.

It is a junction number, because it is equal to n+sod(n) for n = 120100102098 and 120100102107.

It is not an unprimeable number, because it can be changed into a prime (120100102121) 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 127 ways as a sum of consecutive naturals, for example, 22441747 + ... + 22447097.

It is an arithmetic number, because the mean of its divisors is an integer number (1306894176).

Almost surely, 2^120100102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167282454528).

120100102122 is an abundant number, since it is smaller than the sum of its proper divisors (214464806934).

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

120100102122 is a wasteful number, since it uses less digits than its factorization.

120100102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100102122 its reverse (221201001021), we get a palindrome (341301103143).

It can be divided in two parts, 1201001021 and 22, that multiplied together give a palindrome (26422022462).

The spelling of 120100102122 in words is "one hundred twenty billion, one hundred million, one hundred two thousand, one hundred twenty-two".