101000121200109 has 12 divisors (see below), whose sum is σ = 148641687804636. Its totient is φ = 66062972356992.

The previous prime is 101000121200107. The next prime is 101000121200149. The reversal of 101000121200109 is 901002121000101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91928248278084 + 9071872922025 = 9587922^2 + 3011955^2 .

It is not a de Polignac number, because 101000121200109 - 2¹ = 101000121200107 is a prime.

It is a super-2 number, since 2×101000121200109² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000121200091 and 101000121200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000121200107) 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, 105870147532 + ... + 105870148485.

It is an arithmetic number, because the mean of its divisors is an integer number (12386807317053).

Almost surely, 2^{101000121200109} is an apocalyptic number.

It is an amenable number.

101000121200109 is a deficient number, since it is larger than the sum of its proper divisors (47641566604527).

101000121200109 is a wasteful number, since it uses less digits than its factorization.

101000121200109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211740296076 (or 211740296073 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 101000121200109 in words is "one hundred one trillion, one hundred twenty-one million, two hundred thousand, one hundred nine".