120001020101001 has 40 divisors (see below), whose sum is σ = 204405960866184. Its totient is φ = 69502853260800.

The previous prime is 120001020100993. The next prime is 120001020101021. The reversal of 120001020101001 is 100101020100021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30743420855625 + 89257599245376 = 5544675^2 + 9447624^2 .

It is not a de Polignac number, because 120001020101001 - 2³ = 120001020100993 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 (120001020101021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3351778650 + ... + 3351814451.

Almost surely, 2^{120001020101001} is an apocalyptic number.

It is an amenable number.

120001020101001 is a deficient number, since it is larger than the sum of its proper divisors (84404940765183).

120001020101001 is a wasteful number, since it uses less digits than its factorization.

120001020101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703593143 (or 6703593134 counting only the distinct ones).

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

Adding to 120001020101001 its reverse (100101020100021), we get a palindrome (220102040201022).

The spelling of 120001020101001 in words is "one hundred twenty trillion, one billion, twenty million, one hundred one thousand, one".