100001001201121 has 16 divisors (see below), whose sum is σ = 101472519133440. Its totient is φ = 98540223125760.

The previous prime is 100001001201091. The next prime is 100001001201139. The reversal of 100001001201121 is 121102100100001.

It is a cyclic number.

It is not a de Polignac number, because 100001001201121 - 2³¹ = 99998853717473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001001201098 and 100001001201107.

It is not an unprimeable number, because it can be changed into a prime (100001001201721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15618276 + ... + 21069706.

It is an arithmetic number, because the mean of its divisors is an integer number (6342032445840).

Almost surely, 2^{100001001201121} is an apocalyptic number.

It is an amenable number.

100001001201121 is a deficient number, since it is larger than the sum of its proper divisors (1471517932319).

100001001201121 is a wasteful number, since it uses less digits than its factorization.

100001001201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452416.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001001201121 its reverse (121102100100001), we get a palindrome (221103101301122).

The spelling of 100001001201121 in words is "one hundred trillion, one billion, one million, two hundred one thousand, one hundred twenty-one".