100121110212001 has 6 divisors (see below), whose sum is σ = 102503656914450. Its totient is φ = 97792712298288.

The previous prime is 100121110211977. The next prime is 100121110212043. The reversal of 100121110212001 is 100212011121001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92976822717601 + 7144287494400 = 9642449^2 + 2672880^2 .

It is not a de Polignac number, because 100121110212001 - 2²¹ = 100121108114849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121110212701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27074392476 + ... + 27074396173.

It is an arithmetic number, because the mean of its divisors is an integer number (17083942819075).

Almost surely, 2^{100121110212001} is an apocalyptic number.

It is an amenable number.

100121110212001 is a deficient number, since it is larger than the sum of its proper divisors (2382546702449).

100121110212001 is an frugal number, since it uses more digits than its factorization.

100121110212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54148788735 (or 54148788692 counting only the distinct ones).

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

Adding to 100121110212001 its reverse (100212011121001), we get a palindrome (200333121333002).

The spelling of 100121110212001 in words is "one hundred trillion, one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, one".