100121001021101 has 8 divisors (see below), whose sum is σ = 102568012759800. Its totient is φ = 97674229096960.

The previous prime is 100121001021071. The next prime is 100121001021161. The reversal of 100121001021101 is 101120100121001.

It can be written as a sum of positive squares in 4 ways, for example, as 230471045476 + 99890529975625 = 480074^2 + 9994525^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121001021101 - 2⁶ = 100121001021037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121001021161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59108306 + ... + 60778563.

It is an arithmetic number, because the mean of its divisors is an integer number (12821001594975).

Almost surely, 2^{100121001021101} is an apocalyptic number.

It is an amenable number.

100121001021101 is a deficient number, since it is larger than the sum of its proper divisors (2447011738699).

100121001021101 is a wasteful number, since it uses less digits than its factorization.

100121001021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119907279.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121001021101 its reverse (101120100121001), we get a palindrome (201241101142102).

The spelling of 100121001021101 in words is "one hundred trillion, one hundred twenty-one billion, one million, twenty-one thousand, one hundred one".