10121100101201 has 6 divisors (see below), whose sum is σ = 10580280446610. Its totient is φ = 9681052270208.

The previous prime is 10121100101191. The next prime is 10121100101249. The reversal of 10121100101201 is 10210100112101.

It can be written as a sum of positive squares in only one way, i.e., 7612522446400 + 2508577654801 = 2759080^2 + 1583849^2 .

It is not a de Polignac number, because 10121100101201 - 2¹⁴ = 10121100084817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10121100103201) 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, 9566256656 + ... + 9566257713.

It is an arithmetic number, because the mean of its divisors is an integer number (1763380074435).

Almost surely, 2^{10121100101201} is an apocalyptic number.

It is an amenable number.

10121100101201 is a deficient number, since it is larger than the sum of its proper divisors (459180345409).

10121100101201 is an equidigital number, since it uses as much as digits as its factorization.

10121100101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19132514415 (or 19132514392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121100101201 its reverse (10210100112101), we get a palindrome (20331200213302).

The spelling of 10121100101201 in words is "ten trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, two hundred one".