120001211011201 has 16 divisors (see below), whose sum is σ = 130685023561680. Its totient is φ = 109524979998720.

The previous prime is 120001211011159. The next prime is 120001211011219. The reversal of 120001211011201 is 102110112100021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47298644514801 + 72702566496400 = 6877401^2 + 8526580^2 .

It is not a de Polignac number, because 120001211011201 - 2¹¹ = 120001211009153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120001211011271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231734911 + ... + 232252171.

It is an arithmetic number, because the mean of its divisors is an integer number (8167813972605).

Almost surely, 2^{120001211011201} is an apocalyptic number.

It is an amenable number.

120001211011201 is a deficient number, since it is larger than the sum of its proper divisors (10683812550479).

120001211011201 is a wasteful number, since it uses less digits than its factorization.

120001211011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717876.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120001211011201 its reverse (102110112100021), we get a palindrome (222111323111222).

The spelling of 120001211011201 in words is "one hundred twenty trillion, one billion, two hundred eleven million, eleven thousand, two hundred one".