102120121010211 has 8 divisors (see below), whose sum is σ = 136218077205504. Its totient is φ = 68051122744200.

The previous prime is 102120121010177. The next prime is 102120121010221. The reversal of 102120121010211 is 112010121021201.

It is a happy number.

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

It is not a de Polignac number, because 102120121010211 - 2⁶ = 102120121010147 is a prime.

It is a super-3 number, since 3×102120121010211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102120121010221) 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, 7239474091 + ... + 7239488196.

It is an arithmetic number, because the mean of its divisors is an integer number (17027259650688).

Almost surely, 2^{102120121010211} is an apocalyptic number.

102120121010211 is a deficient number, since it is larger than the sum of its proper divisors (34097956195293).

102120121010211 is a wasteful number, since it uses less digits than its factorization.

102120121010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478964641.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102120121010211 its reverse (112010121021201), we get a palindrome (214130242031412).

The spelling of 102120121010211 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-one million, ten thousand, two hundred eleven".