100101122110 has 16 divisors (see below), whose sum is σ = 196562203632. Its totient is φ = 36400408000.

The previous prime is 100101122087. The next prime is 100101122113. The reversal of 100101122110 is 11221101001.

It is a super-2 number, since 2×100101122110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455004991 + ... + 455005210.

It is an arithmetic number, because the mean of its divisors is an integer number (12285137727).

Almost surely, 2^100101122110 is an apocalyptic number.

100101122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101122110 is a deficient number, since it is larger than the sum of its proper divisors (96461081522).

100101122110 is a wasteful number, since it uses less digits than its factorization.

100101122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910010219.

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

Adding to 100101122110 its reverse (11221101001), we get a palindrome (111322223111).

The spelling of 100101122110 in words is "one hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred ten".