120000100020201 has 24 divisors (see below), whose sum is σ = 183599695102824. Its totient is φ = 75265408972800.

The previous prime is 120000100020149. The next prime is 120000100020211. The reversal of 120000100020201 is 102020001000021.

It can be written as a sum of positive squares in 4 ways, for example, as 58000775198976 + 61999324821225 = 7615824^2 + 7873965^2 .

It is not a de Polignac number, because 120000100020201 - 2⁹ = 120000100019689 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 (120000100020211) 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, 149449500 + ... + 150250301.

It is an arithmetic number, because the mean of its divisors is an integer number (7649987295951).

Almost surely, 2^{120000100020201} is an apocalyptic number.

It is an amenable number.

120000100020201 is a deficient number, since it is larger than the sum of its proper divisors (63599595082623).

120000100020201 is a wasteful number, since it uses less digits than its factorization.

120000100020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299702441 (or 299702438 counting only the distinct ones).

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

Adding to 120000100020201 its reverse (102020001000021), we get a palindrome (222020101020222).

The spelling of 120000100020201 in words is "one hundred twenty trillion, one hundred million, twenty thousand, two hundred one".