10002100121001 has 12 divisors (see below), whose sum is σ = 14449536382320. Its totient is φ = 6667116702840.

The previous prime is 10002100120981. The next prime is 10002100121053. The reversal of 10002100121001 is 10012100120001.

It is a happy number.

It is not a de Polignac number, because 10002100121001 - 2¹¹ = 10002100118953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10002100121071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79103695 + ... + 79230036.

It is an arithmetic number, because the mean of its divisors is an integer number (1204128031860).

Almost surely, 2^{10002100121001} is an apocalyptic number.

It is an amenable number.

10002100121001 is a deficient number, since it is larger than the sum of its proper divisors (4447436261319).

10002100121001 is a wasteful number, since it uses less digits than its factorization.

10002100121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158340756 (or 158340753 counting only the distinct ones).

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

Adding to 10002100121001 its reverse (10012100120001), we get a palindrome (20014200241002).

The spelling of 10002100121001 in words is "ten trillion, two billion, one hundred million, one hundred twenty-one thousand, one".