10102120211 has 8 divisors (see below), whose sum is σ = 10202291424. Its totient is φ = 10001989440.

The previous prime is 10102120201. The next prime is 10102120261. The reversal of 10102120211 is 11202120101.

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

It is a cyclic number.

It is not a de Polignac number, because 10102120211 - 2²⁶ = 10035011347 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102120192 and 10102120201.

It is not an unprimeable number, because it can be changed into a prime (10102120201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848681 + ... + 860501.

It is an arithmetic number, because the mean of its divisors is an integer number (1275286428).

Almost surely, 2^10102120211 is an apocalyptic number.

10102120211 is a deficient number, since it is larger than the sum of its proper divisors (100171213).

10102120211 is a wasteful number, since it uses less digits than its factorization.

10102120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102120211 its reverse (11202120101), we get a palindrome (21304240312).

The spelling of 10102120211 in words is "ten billion, one hundred two million, one hundred twenty thousand, two hundred eleven".