10002121100011 has 8 divisors (see below), whose sum is σ = 10283883680448. Its totient is φ = 9722158920000.

The previous prime is 10002121099987. The next prime is 10002121100047. The reversal of 10002121100011 is 11000112120001.

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 10002121100011 - 2¹³ = 10002121091819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002121100311) 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, 450088840 + ... + 450111061.

It is an arithmetic number, because the mean of its divisors is an integer number (1285485460056).

Almost surely, 2^{10002121100011} is an apocalyptic number.

10002121100011 is a deficient number, since it is larger than the sum of its proper divisors (281762580437).

10002121100011 is an equidigital number, since it uses as much as digits as its factorization.

10002121100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900200213.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002121100011 its reverse (11000112120001), we get a palindrome (21002233220012).

The spelling of 10002121100011 in words is "ten trillion, two billion, one hundred twenty-one million, one hundred thousand, eleven".