101102212101121 has 16 divisors (see below), whose sum is σ = 126290523691008. Its totient is φ = 78630311682000.

The previous prime is 101102212101097. The next prime is 101102212101169. The reversal of 101102212101121 is 121101212201101.

It is a cyclic number.

It is not a de Polignac number, because 101102212101121 - 2¹³ = 101102212092929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102212101095 and 101102212101104.

It is not an unprimeable number, because it can be changed into a prime (101102212101721) 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, 1255232905 + ... + 1255313446.

It is an arithmetic number, because the mean of its divisors is an integer number (7893157730688).

Almost surely, 2^{101102212101121} is an apocalyptic number.

101102212101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102212101121 is a deficient number, since it is larger than the sum of its proper divisors (25188311589887).

101102212101121 is a wasteful number, since it uses less digits than its factorization.

101102212101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510546892.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101102212101121 its reverse (121101212201101), we get a palindrome (222203424302222).

The spelling of 101102212101121 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".