10012102210121 has 8 divisors (see below), whose sum is σ = 11188690718688. Its totient is φ = 8879913268000.

The previous prime is 10012102210087. The next prime is 10012102210133. The reversal of 10012102210121 is 12101220121001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012102210121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012102210096 and 10012102210105.

It is not an unprimeable number, because it can be changed into a prime (10012102210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11099891135 + ... + 11099892036.

It is an arithmetic number, because the mean of its divisors is an integer number (1398586339836).

Almost surely, 2^{10012102210121} is an apocalyptic number.

10012102210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012102210121 is a deficient number, since it is larger than the sum of its proper divisors (1176588508567).

10012102210121 is a wasteful number, since it uses less digits than its factorization.

10012102210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22199783223.

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

Adding to 10012102210121 its reverse (12101220121001), we get a palindrome (22113322331122).

The spelling of 10012102210121 in words is "ten trillion, twelve billion, one hundred two million, two hundred ten thousand, one hundred twenty-one".