101112201102121 has 16 divisors (see below), whose sum is σ = 111672593323200. Its totient is φ = 90780653099520.

The previous prime is 101112201102109. The next prime is 101112201102179. The reversal of 101112201102121 is 121201102211101.

It is a cyclic number.

It is not a de Polignac number, because 101112201102121 - 2¹⁷ = 101112200971049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112201102095 and 101112201102104.

It is not an unprimeable number, because it can be changed into a prime (101112201102221) 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, 16959396 + ... + 22132453.

It is an arithmetic number, because the mean of its divisors is an integer number (6979537082700).

Almost surely, 2^{101112201102121} is an apocalyptic number.

101112201102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112201102121 is a deficient number, since it is larger than the sum of its proper divisors (10560392221079).

101112201102121 is a wasteful number, since it uses less digits than its factorization.

101112201102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39094776.

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

Adding to 101112201102121 its reverse (121201102211101), we get a palindrome (222313303313222).

The spelling of 101112201102121 in words is "one hundred one trillion, one hundred twelve billion, two hundred one million, one hundred two thousand, one hundred twenty-one".