101211100101111 has 192 divisors, whose sum is σ = 184640626704384. Its totient is φ = 47881948608000.

The previous prime is 101211100101107. The next prime is 101211100101127. The reversal of 101211100101111 is 111101001112101.

It is not a de Polignac number, because 101211100101111 - 2² = 101211100101107 is a prime.

It is a super-2 number, since 2×101211100101111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211100101161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1115806386 + ... + 1115897088.

It is an arithmetic number, because the mean of its divisors is an integer number (961669930752).

Almost surely, 2^{101211100101111} is an apocalyptic number.

101211100101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211100101111 is a deficient number, since it is larger than the sum of its proper divisors (83429526603273).

101211100101111 is a wasteful number, since it uses less digits than its factorization.

101211100101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91134 (or 91121 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101211100101111 its reverse (111101001112101), we get a palindrome (212312101213212).

The spelling of 101211100101111 in words is "one hundred one trillion, two hundred eleven billion, one hundred million, one hundred one thousand, one hundred eleven".