120012100100001 has 24 divisors (see below), whose sum is σ = 178422163703784. Its totient is φ = 77676823791360.

The previous prime is 120012100099939. The next prime is 120012100100023. The reversal of 120012100100001 is 100001001210021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14044325875776 + 105967774224225 = 3747576^2 + 10294065^2 .

It is not a de Polignac number, because 120012100100001 - 2⁷ = 120012100099873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120012100100071) 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, 390732276 + ... + 391039301.

It is an arithmetic number, because the mean of its divisors is an integer number (7434256820991).

Almost surely, 2^{120012100100001} is an apocalyptic number.

It is an amenable number.

120012100100001 is a deficient number, since it is larger than the sum of its proper divisors (58410063603783).

120012100100001 is a wasteful number, since it uses less digits than its factorization.

120012100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781772081 (or 781772078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120012100100001 its reverse (100001001210021), we get a palindrome (220013101310022).

The spelling of 120012100100001 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred thousand, one".