10002121112201 has 4 divisors (see below), whose sum is σ = 10101152014404. Its totient is φ = 9903090210000.

The previous prime is 10002121112197. The next prime is 10002121112227. The reversal of 10002121112201 is 10221112120001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6852348054601 + 3149773057600 = 2617699^2 + 1774760^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002121112201 - 2² = 10002121112197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002121112251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49515450950 + ... + 49515451151.

It is an arithmetic number, because the mean of its divisors is an integer number (2525288003601).

Almost surely, 2^{10002121112201} is an apocalyptic number.

It is an amenable number.

10002121112201 is a deficient number, since it is larger than the sum of its proper divisors (99030902203).

10002121112201 is an equidigital number, since it uses as much as digits as its factorization.

10002121112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99030902202.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002121112201 its reverse (10221112120001), we get a palindrome (20223233232202).

The spelling of 10002121112201 in words is "ten trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred one".