101121212121111 has 384 divisors, whose sum is σ = 193126468534272. Its totient is φ = 49576665600000.

The previous prime is 101121212121109. The next prime is 101121212121113. The reversal of 101121212121111 is 111121212121101.

101121212121111 is a `hidden beast` number, since 101 + 121 + 212 + 121 + 111 = 666.

It is an interprime number because it is at equal distance from previous prime (101121212121109) and next prime (101121212121113).

It is not a de Polignac number, because 101121212121111 - 2¹ = 101121212121109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121212121113) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10213227261 + ... + 10213237161.

It is an arithmetic number, because the mean of its divisors is an integer number (502933511808).

Almost surely, 2^{101121212121111} is an apocalyptic number.

101121212121111 is a deficient number, since it is larger than the sum of its proper divisors (92005256413161).

101121212121111 is a wasteful number, since it uses less digits than its factorization.

101121212121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10180 counting only the distinct ones).

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

Adding to 101121212121111 its reverse (111121212121101), we get a palindrome (212242424242212).

The spelling of 101121212121111 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty-one thousand, one hundred eleven".