100121201021 has 8 divisors (see below), whose sum is σ = 106033185720. Its totient is φ = 94211716608.

The previous prime is 100121201009. The next prime is 100121201029. The reversal of 100121201021 is 120102121001.

It can be written as a sum of positive squares in 4 ways, for example, as 4275852100 + 95845348921 = 65390^2 + 309589^2 .

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 100121201021 - 2⁶ = 100121200957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121200993 and 100121201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121201029) 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, 542306 + ... + 703091.

It is an arithmetic number, because the mean of its divisors is an integer number (13254148215).

Almost surely, 2^100121201021 is an apocalyptic number.

It is an amenable number.

100121201021 is a deficient number, since it is larger than the sum of its proper divisors (5911984699).

100121201021 is a wasteful number, since it uses less digits than its factorization.

100121201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250143.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121201021 its reverse (120102121001), we get a palindrome (220223322022).

The spelling of 100121201021 in words is "one hundred billion, one hundred twenty-one million, two hundred one thousand, twenty-one".