10121211112011 has 16 divisors (see below), whose sum is σ = 13545755742240. Its totient is φ = 6722072651520.

The previous prime is 10121211111931. The next prime is 10121211112013. The reversal of 10121211112011 is 11021111212101.

It is not a de Polignac number, because 10121211112011 - 2¹³ = 10121211103819 is a prime.

It is a super-3 number, since 3×10121211112011³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121211112013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17436981 + ... + 18008073.

It is an arithmetic number, because the mean of its divisors is an integer number (846609733890).

Almost surely, 2^{10121211112011} is an apocalyptic number.

10121211112011 is a deficient number, since it is larger than the sum of its proper divisors (3424544630229).

10121211112011 is a wasteful number, since it uses less digits than its factorization.

10121211112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593326.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10121211112011 its reverse (11021111212101), we get a palindrome (21142322324112).

The spelling of 10121211112011 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, eleven".