101101122002111 has 16 divisors (see below), whose sum is σ = 126080283034368. Its totient is φ = 78760013236800.

The previous prime is 101101122002047. The next prime is 101101122002119. The reversal of 101101122002111 is 111200221101101.

It is not a de Polignac number, because 101101122002111 - 2⁶ = 101101122002047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101122002119) 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, 167044550 + ... + 167648691.

It is an arithmetic number, because the mean of its divisors is an integer number (7880017689648).

Almost surely, 2^{101101122002111} is an apocalyptic number.

101101122002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101122002111 is a deficient number, since it is larger than the sum of its proper divisors (24979161032257).

101101122002111 is a wasteful number, since it uses less digits than its factorization.

101101122002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334697182.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101101122002111 its reverse (111200221101101), we get a palindrome (212301343103212).

The spelling of 101101122002111 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, two thousand, one hundred eleven".