101101211121 has 16 divisors (see below), whose sum is σ = 139497113088. Its totient is φ = 65063904000.

The previous prime is 101101211069. The next prime is 101101211129. The reversal of 101101211121 is 121112101101.

It is not a de Polignac number, because 101101211121 - 2³⁴ = 83921341937 is a prime.

It is a super-3 number, since 3×101101211121³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101211097 and 101101211106.

It is not an unprimeable number, because it can be changed into a prime (101101211129) 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, 1318206 + ... + 1392791.

It is an arithmetic number, because the mean of its divisors is an integer number (8718569568).

Almost surely, 2^101101211121 is an apocalyptic number.

It is an amenable number.

101101211121 is a deficient number, since it is larger than the sum of its proper divisors (38395901967).

101101211121 is a wasteful number, since it uses less digits than its factorization.

101101211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711432.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101211121 its reverse (121112101101), we get a palindrome (222213312222).

The spelling of 101101211121 in words is "one hundred one billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".