120100100100212 has 24 divisors (see below), whose sum is σ = 210396261144552. Its totient is φ = 59986891152000.

The previous prime is 120100100100181. The next prime is 120100100100229. The reversal of 120100100100212 is 212001001001021.

It can be written as a sum of positive squares in 4 ways, for example, as 28118266707556 + 91981833392656 = 5302666^2 + 9590716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120100100100193 and 120100100100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55713938 + ... + 57829430.

It is an arithmetic number, because the mean of its divisors is an integer number (8766510881023).

Almost surely, 2^{120100100100212} is an apocalyptic number.

It is an amenable number.

120100100100212 is a deficient number, since it is larger than the sum of its proper divisors (90296161044340).

120100100100212 is a wasteful number, since it uses less digits than its factorization.

120100100100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130419 (or 2130417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100100100212 its reverse (212001001001021), we get a palindrome (332101101101233).

The spelling of 120100100100212 in words is "one hundred twenty trillion, one hundred billion, one hundred million, one hundred thousand, two hundred twelve".