10101201121121 has 6 divisors (see below), whose sum is σ = 11102973133266. Its totient is φ = 9182910110000.

The previous prime is 10101201121093. The next prime is 10101201121127. The reversal of 10101201121121 is 12112110210101.

It can be written as a sum of positive squares in only one way, i.e., 5224881640000 + 4876319481121 = 2285800^2 + 2208239^2 .

It is not a de Polignac number, because 10101201121121 - 2⁶ = 10101201121057 is a prime.

It is a super-2 number, since 2×10101201121121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101201121096 and 10101201121105.

It is not an unprimeable number, because it can be changed into a prime (10101201121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41740500380 + ... + 41740500621.

It is an arithmetic number, because the mean of its divisors is an integer number (1850495522211).

Almost surely, 2^{10101201121121} is an apocalyptic number.

10101201121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101201121121 is a deficient number, since it is larger than the sum of its proper divisors (1001772012145).

10101201121121 is an equidigital number, since it uses as much as digits as its factorization.

10101201121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83481001023 (or 83481001012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10101201121121 its reverse (12112110210101), we get a palindrome (22213311331222).

The spelling of 10101201121121 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".