10102121111011 has 8 divisors (see below), whose sum is σ = 10106719382144. Its totient is φ = 10097523408960.

The previous prime is 10102121111009. The next prime is 10102121111087. The reversal of 10102121111011 is 11011112120101.

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 10102121111011 - 2¹ = 10102121111009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102121110982 and 10102121111000.

It is not an unprimeable number, because it can be changed into a prime (10102121114011) 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, 37632181 + ... + 37899673.

It is an arithmetic number, because the mean of its divisors is an integer number (1263339922768).

Almost surely, 2^{10102121111011} is an apocalyptic number.

10102121111011 is a deficient number, since it is larger than the sum of its proper divisors (4598271133).

10102121111011 is a wasteful number, since it uses less digits than its factorization.

10102121111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284541.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10102121111011 its reverse (11011112120101), we get a palindrome (21113233231112).

The spelling of 10102121111011 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, eleven".