10002010010121 has 6 divisors (see below), whose sum is σ = 14447347792410. Its totient is φ = 6668006673408.

The previous prime is 10002010010099. The next prime is 10002010010137. The reversal of 10002010010121 is 12101001020001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6008327513721 + 3993682496400 = 2451189^2 + 1998420^2 .

It is not a de Polignac number, because 10002010010121 - 2³⁴ = 9984830140937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111334445569 = 10002010010121 / (1 + 0 + 0 + 0 + 2 + 0 + 1 + 0 + 0 + 1 + 0 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (10002010010021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555667222776 + ... + 555667222793.

It is an arithmetic number, because the mean of its divisors is an integer number (2407891298735).

Almost surely, 2^{10002010010121} is an apocalyptic number.

It is an amenable number.

10002010010121 is a deficient number, since it is larger than the sum of its proper divisors (4445337782289).

10002010010121 is a wasteful number, since it uses less digits than its factorization.

10002010010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111334445575 (or 1111334445572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002010010121 its reverse (12101001020001), we get a palindrome (22103011030122).

The spelling of 10002010010121 in words is "ten trillion, two billion, ten million, ten thousand, one hundred twenty-one".