101221011121011 has 16 divisors (see below), whose sum is σ = 135047226513408. Its totient is φ = 67437746215200.

The previous prime is 101221011121001. The next prime is 101221011121091. The reversal of 101221011121011 is 110121110122101.

It is not a de Polignac number, because 101221011121011 - 2²⁹ = 101220474250099 is a prime.

It is a super-3 number, since 3×101221011121011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221011121001) 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, 34483566 + ... + 37303596.

It is an arithmetic number, because the mean of its divisors is an integer number (8440451657088).

Almost surely, 2^{101221011121011} is an apocalyptic number.

101221011121011 is a deficient number, since it is larger than the sum of its proper divisors (33826215392397).

101221011121011 is a wasteful number, since it uses less digits than its factorization.

101221011121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827642.

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

Adding to 101221011121011 its reverse (110121110122101), we get a palindrome (211342121243112).

The spelling of 101221011121011 in words is "one hundred one trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, eleven".