101121120112211 has 16 divisors (see below), whose sum is σ = 102939354828288. Its totient is φ = 99313859803200.

The previous prime is 101121120112163. The next prime is 101121120112231. The reversal of 101121120112211 is 112211021121101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121120112211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121120112211.

It is not an unprimeable number, because it can be changed into a prime (101121120112231) 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, 543870215 + ... + 544056111.

It is an arithmetic number, because the mean of its divisors is an integer number (6433709676768).

Almost surely, 2^{101121120112211} is an apocalyptic number.

101121120112211 is a deficient number, since it is larger than the sum of its proper divisors (1818234716077).

101121120112211 is a wasteful number, since it uses less digits than its factorization.

101121120112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215362.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101121120112211 its reverse (112211021121101), we get a palindrome (213332141233312).

The spelling of 101121120112211 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred eleven".