10100202121001 has 8 divisors (see below), whose sum is σ = 10272702221184. Its totient is φ = 9929133557280.

The previous prime is 10100202120989. The next prime is 10100202121013. The reversal of 10100202121001 is 10012120200101.

It is an interprime number because it is at equal distance from previous prime (10100202120989) and next prime (10100202121013).

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 10100202121001 - 2¹⁴ = 10100202104617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100202121021) 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, 357869885 + ... + 357898106.

It is an arithmetic number, because the mean of its divisors is an integer number (1284087777648).

Almost surely, 2^{10100202121001} is an apocalyptic number.

It is an amenable number.

10100202121001 is a deficient number, since it is larger than the sum of its proper divisors (172500100183).

10100202121001 is a wasteful number, since it uses less digits than its factorization.

10100202121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715768231.

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

Adding to 10100202121001 its reverse (10012120200101), we get a palindrome (20112322321102).

The spelling of 10100202121001 in words is "ten trillion, one hundred billion, two hundred two million, one hundred twenty-one thousand, one".