10000100202121 has 8 divisors (see below), whose sum is σ = 10036309157000. Its totient is φ = 9963892021248.

The previous prime is 10000100202067. The next prime is 10000100202133. The reversal of 10000100202121 is 12120200100001.

It can be written as a sum of positive squares in 4 ways, for example, as 204521017600 + 9795579184521 = 452240^2 + 3129789^2 .

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 10000100202121 - 2¹³ = 10000100193929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000100202098 and 10000100202107.

It is not an unprimeable number, because it can be changed into a prime (10000100232121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43506505 + ... + 43735753.

It is an arithmetic number, because the mean of its divisors is an integer number (1254538644625).

Almost surely, 2^{10000100202121} is an apocalyptic number.

It is an amenable number.

10000100202121 is a deficient number, since it is larger than the sum of its proper divisors (36208954879).

10000100202121 is a wasteful number, since it uses less digits than its factorization.

10000100202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387003.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000100202121 its reverse (12120200100001), we get a palindrome (22120300302122).

The spelling of 10000100202121 in words is "ten trillion, one hundred million, two hundred two thousand, one hundred twenty-one".