100121012001 has 6 divisors (see below), whose sum is σ = 144619239570. Its totient is φ = 66747341328.

The previous prime is 100121011987. The next prime is 100121012009. The reversal of 100121012001 is 100210121001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77728882401 + 22392129600 = 278799^2 + 149640^2 .

It is not a de Polignac number, because 100121012001 - 2¹⁹ = 100120487713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124556889 = 100121012001 / (1 + 0 + 0 + 1 + 2 + 1 + 0 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100121012009) 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, 5562278436 + ... + 5562278453.

It is an arithmetic number, because the mean of its divisors is an integer number (24103206595).

Almost surely, 2^100121012001 is an apocalyptic number.

It is an amenable number.

100121012001 is a deficient number, since it is larger than the sum of its proper divisors (44498227569).

100121012001 is a wasteful number, since it uses less digits than its factorization.

100121012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124556895 (or 11124556892 counting only the distinct ones).

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

Adding to 100121012001 its reverse (100210121001), we get a palindrome (200331133002).

The spelling of 100121012001 in words is "one hundred billion, one hundred twenty-one million, twelve thousand, one".