120020020010001 has 6 divisors (see below), whose sum is σ = 173362251125570. Its totient is φ = 80013346673328.

The previous prime is 120020020009997. The next prime is 120020020010047. The reversal of 120020020010001 is 100010020020021.

It can be written as a sum of positive squares in only one way, i.e., 112124909099025 + 7895110910976 = 10588905^2 + 2809824^2 .

It is not a de Polignac number, because 120020020010001 - 2² = 120020020009997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13335557778889 = 120020020010001 / (1 + 2 + 0 + 0 + 2 + 0 + 0 + 2 + 0 + 0 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120020020010701) 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, 6667778889436 + ... + 6667778889453.

Almost surely, 2^{120020020010001} is an apocalyptic number.

It is an amenable number.

120020020010001 is a deficient number, since it is larger than the sum of its proper divisors (53342231115569).

120020020010001 is a wasteful number, since it uses less digits than its factorization.

120020020010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335557778895 (or 13335557778892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020020010001 its reverse (100010020020021), we get a palindrome (220030040030022).

The spelling of 120020020010001 in words is "one hundred twenty trillion, twenty billion, twenty million, ten thousand, one".