100001121201 has 6 divisors (see below), whose sum is σ = 144446063970. Its totient is φ = 66667414128.

The previous prime is 100001121191. The next prime is 100001121239. The reversal of 100001121201 is 102121100001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 62810384400 + 37190736801 = 250620^2 + 192849^2 .

It is not a de Polignac number, because 100001121201 - 2⁶ = 100001121137 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: 11111235689 = 100001121201 / (1 + 0 + 0 + 0 + 0 + 1 + 1 + 2 + 1 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100001121001) 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, 5555617836 + ... + 5555617853.

It is an arithmetic number, because the mean of its divisors is an integer number (24074343995).

Almost surely, 2^100001121201 is an apocalyptic number.

It is an amenable number.

100001121201 is a deficient number, since it is larger than the sum of its proper divisors (44444942769).

100001121201 is a wasteful number, since it uses less digits than its factorization.

100001121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111235695 (or 11111235692 counting only the distinct ones).

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

Adding to 100001121201 its reverse (102121100001), we get a palindrome (202122221202).

The spelling of 100001121201 in words is "one hundred billion, one million, one hundred twenty-one thousand, two hundred one".