10002120020101 has 16 divisors (see below), whose sum is σ = 11490508477440. Its totient is φ = 8610650734320.

The previous prime is 10002120020059. The next prime is 10002120020261. The reversal of 10002120020101 is 10102002120001.

It is a cyclic number.

It is not a de Polignac number, because 10002120020101 - 2⁷ = 10002120019973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120000101) 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 15 ways as a sum of consecutive naturals, for example, 9543295 + ... + 10539388.

It is an arithmetic number, because the mean of its divisors is an integer number (718156779840).

Almost surely, 2^{10002120020101} is an apocalyptic number.

10002120020101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002120020101 is a deficient number, since it is larger than the sum of its proper divisors (1488388457339).

10002120020101 is a wasteful number, since it uses less digits than its factorization.

10002120020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20085096.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002120020101 its reverse (10102002120001), we get a palindrome (20104122140102).

The spelling of 10002120020101 in words is "ten trillion, two billion, one hundred twenty million, twenty thousand, one hundred one".