101121211112211 has 40 divisors (see below), whose sum is σ = 155371464238320. Its totient is φ = 65505196689408.

The previous prime is 101121211112197. The next prime is 101121211112213. The reversal of 101121211112211 is 112211112121101.

101121211112211 is a `hidden beast` number, since 10 + 1 + 121 + 211 + 112 + 211 = 666.

It is not a de Polignac number, because 101121211112211 - 2⁶ = 101121211112147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121211112213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74542266 + ... + 75886703.

It is an arithmetic number, because the mean of its divisors is an integer number (3884286605958).

Almost surely, 2^{101121211112211} is an apocalyptic number.

101121211112211 is a deficient number, since it is larger than the sum of its proper divisors (54250253126109).

101121211112211 is a wasteful number, since it uses less digits than its factorization.

101121211112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150429217 (or 150429208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101121211112211 its reverse (112211112121101), we get a palindrome (213332323233312).

The spelling of 101121211112211 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, two hundred eleven".