101121200210101 has 8 divisors (see below), whose sum is σ = 101488157199704. Its totient is φ = 100754256879360.

The previous prime is 101121200210099. The next prime is 101121200210113. The reversal of 101121200210101 is 101012002121101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121232794225 + 100999967415876 = 348185^2 + 10049874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101121200210101 - 2¹ = 101121200210099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121200210201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11537401 + ... + 18312673.

It is an arithmetic number, because the mean of its divisors is an integer number (12686019649963).

Almost surely, 2^{101121200210101} is an apocalyptic number.

It is an amenable number.

101121200210101 is a deficient number, since it is larger than the sum of its proper divisors (366956989603).

101121200210101 is an equidigital number, since it uses as much as digits as its factorization.

101121200210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829431.

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

Adding to 101121200210101 its reverse (101012002121101), we get a palindrome (202133202331202).

The spelling of 101121200210101 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred million, two hundred ten thousand, one hundred one".