10201100100121 has 12 divisors (see below), whose sum is σ = 11870167844532. Its totient is φ = 8741160707328.

The previous prime is 10201100100043. The next prime is 10201100100143. The reversal of 10201100100121 is 12100100110201.

It can be written as a sum of positive squares in 2 ways, for example, as 8542642928400 + 1658457171721 = 2922780^2 + 1287811^2 .

It is not a de Polignac number, because 10201100100121 - 2⁹ = 10201100099609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201100100098 and 10201100100107.

It is not an unprimeable number, because it can be changed into a prime (10201100100721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31257180 + ... + 31581853.

It is an arithmetic number, because the mean of its divisors is an integer number (989180653711).

Almost surely, 2^{10201100100121} is an apocalyptic number.

It is an amenable number.

10201100100121 is a deficient number, since it is larger than the sum of its proper divisors (1669067744411).

10201100100121 is an equidigital number, since it uses as much as digits as its factorization.

10201100100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62842360 (or 62842353 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201100100121 its reverse (12100100110201), we get a palindrome (22301200210322).

The spelling of 10201100100121 in words is "ten trillion, two hundred one billion, one hundred million, one hundred thousand, one hundred twenty-one".