10121211011011 has 8 divisors (see below), whose sum is σ = 10699631251920. Its totient is φ = 9547363262592.

The previous prime is 10121211010993. The next prime is 10121211011053. The reversal of 10121211011011 is 11011011212101.

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 10121211011011 - 2³³ = 10112621076419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121211010982 and 10121211011000.

It is not an unprimeable number, because it can be changed into a prime (10121211011311) 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, 1143118570 + ... + 1143127423.

It is an arithmetic number, because the mean of its divisors is an integer number (1337453906490).

Almost surely, 2^{10121211011011} is an apocalyptic number.

10121211011011 is a deficient number, since it is larger than the sum of its proper divisors (578420240909).

10121211011011 is a wasteful number, since it uses less digits than its factorization.

10121211011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286246245.

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

Adding to 10121211011011 its reverse (11011011212101), we get a palindrome (21132222223112).

The spelling of 10121211011011 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, eleven thousand, eleven".