100001201121 has 12 divisors (see below), whose sum is σ = 144458226900. Its totient is φ = 66661907040.

The previous prime is 100001201119. The next prime is 100001201143. The reversal of 100001201121 is 121102100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65669187600 + 34332013521 = 256260^2 + 185289^2 .

It is not a de Polignac number, because 100001201121 - 2¹ = 100001201119 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 (100001201171) 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, 347950 + ... + 566631.

It is an arithmetic number, because the mean of its divisors is an integer number (12038185575).

Almost surely, 2^100001201121 is an apocalyptic number.

It is an amenable number.

100001201121 is a deficient number, since it is larger than the sum of its proper divisors (44457025779).

100001201121 is a wasteful number, since it uses less digits than its factorization.

100001201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926736 (or 926733 counting only the distinct ones).

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

Adding to 100001201121 its reverse (121102100001), we get a palindrome (221103301122).

It can be divided in two parts, 10000 and 1201121, that added together give a palindrome (1211121).

The spelling of 100001201121 in words is "one hundred billion, one million, two hundred one thousand, one hundred twenty-one".