10102012120211 has 8 divisors (see below), whose sum is σ = 11117902318704. Its totient is φ = 9102376165120.

The previous prime is 10102012120201. The next prime is 10102012120217. The reversal of 10102012120211 is 11202121020101.

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-10102012120211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102012120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4063559546 + ... + 4063562031.

It is an arithmetic number, because the mean of its divisors is an integer number (1389737789838).

Almost surely, 2^{10102012120211} is an apocalyptic number.

10102012120211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102012120211 is a deficient number, since it is larger than the sum of its proper divisors (1015890198493).

10102012120211 is a wasteful number, since it uses less digits than its factorization.

10102012120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127121701.

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

Adding to 10102012120211 its reverse (11202121020101), we get a palindrome (21304133140312).

The spelling of 10102012120211 in words is "ten trillion, one hundred two billion, twelve million, one hundred twenty thousand, two hundred eleven".