101120001210201 has 64 divisors (see below), whose sum is σ = 137859104768000. Its totient is φ = 65917296244800.

The previous prime is 101120001210161. The next prime is 101120001210209. The reversal of 101120001210201 is 102012100021101.

It is not a de Polignac number, because 101120001210201 - 2¹⁷ = 101120001079129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120001210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15733620750 + ... + 15733627176.

It is an arithmetic number, because the mean of its divisors is an integer number (2154048512000).

Almost surely, 2^{101120001210201} is an apocalyptic number.

It is an amenable number.

101120001210201 is a deficient number, since it is larger than the sum of its proper divisors (36739103557799).

101120001210201 is a wasteful number, since it uses less digits than its factorization.

101120001210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120001210201 its reverse (102012100021101), we get a palindrome (203132101231302).

The spelling of 101120001210201 in words is "one hundred one trillion, one hundred twenty billion, one million, two hundred ten thousand, two hundred one".