101122100101 has 32 divisors (see below), whose sum is σ = 116790854400. Its totient is φ = 86704128000.

The previous prime is 101122100087. The next prime is 101122100113. The reversal of 101122100101 is 101001221101.

It is a 10-Lehmer number, since φ(101122100101) divides (101122100101-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 101122100101 - 2¹⁷ = 101121969029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2448261 + ... + 2489221.

It is an arithmetic number, because the mean of its divisors is an integer number (3649714200).

Almost surely, 2^101122100101 is an apocalyptic number.

101122100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122100101 is a deficient number, since it is larger than the sum of its proper divisors (15668754299).

101122100101 is a wasteful number, since it uses less digits than its factorization.

101122100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41181.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101122100101 its reverse (101001221101), we get a palindrome (202123321202).

The spelling of 101122100101 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred one".