101000121200001 has 24 divisors (see below), whose sum is σ = 149410192822176. Its totient is φ = 65710970599680.

The previous prime is 101000121199981. The next prime is 101000121200023. The reversal of 101000121200001 is 100002121000101.

It is a happy number.

It is not a de Polignac number, because 101000121200001 - 2⁹ = 101000121199489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101000121200071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111752080 + ... + 112652241.

It is an arithmetic number, because the mean of its divisors is an integer number (6225424700924).

Almost surely, 2^{101000121200001} is an apocalyptic number.

It is an amenable number.

101000121200001 is a deficient number, since it is larger than the sum of its proper divisors (48410071622175).

101000121200001 is a wasteful number, since it uses less digits than its factorization.

101000121200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224405533 (or 224405530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000121200001 its reverse (100002121000101), we get a palindrome (201002242200102).

The spelling of 101000121200001 in words is "one hundred one trillion, one hundred twenty-one million, two hundred thousand, one".