120211001212100 has 18 divisors (see below), whose sum is σ = 260857872630474. Its totient is φ = 48084400484800.

The previous prime is 120211001212097. The next prime is 120211001212189. The reversal of 120211001212100 is 1212100112021.

120211001212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5551150663744 + 114659850548356 = 2356088^2 + 10707934^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 601055005961 + ... + 601055006160.

Almost surely, 2^{120211001212100} is an apocalyptic number.

120211001212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211001212100 is an abundant number, since it is smaller than the sum of its proper divisors (140646871418374).

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

120211001212100 is a wasteful number, since it uses less digits than its factorization.

120211001212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202110012135 (or 1202110012128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120211001212100 its reverse (1212100112021), we get a palindrome (121423101324121).

The spelling of 120211001212100 in words is "one hundred twenty trillion, two hundred eleven billion, one million, two hundred twelve thousand, one hundred".