120212110012100 has 18 divisors (see below), whose sum is σ = 260860278726474. Its totient is φ = 48084844004800.

The previous prime is 120212110012097. The next prime is 120212110012103. The reversal of 120212110012100 is 1210011212021.

120212110012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120212110012097) and next prime (120212110012103).

It can be written as a sum of positive squares in 3 ways, for example, as 4046438003776 + 116165672008324 = 2011576^2 + 10778018^2 .

It is a super-2 number, since 2×120212110012100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120212110012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 601060549961 + ... + 601060550160.

Almost surely, 2^{120212110012100} is an apocalyptic number.

120212110012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212110012100 is an abundant number, since it is smaller than the sum of its proper divisors (140648168714374).

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

120212110012100 is a wasteful number, since it uses less digits than its factorization.

120212110012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202121100135 (or 1202121100128 counting only the distinct ones).

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

Adding to 120212110012100 its reverse (1210011212021), we get a palindrome (121422121224121).

The spelling of 120212110012100 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred ten million, twelve thousand, one hundred".