100011011220105 has 32 divisors (see below), whose sum is σ = 163739927070720. Its totient is φ = 52098450962880.

The previous prime is 100011011220101. The next prime is 100011011220247. The reversal of 100011011220105 is 501022110110001.

It is not a de Polignac number, because 100011011220105 - 2² = 100011011220101 is a prime.

It is a super-2 number, since 2×100011011220105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100011011220101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143654800 + ... + 144349310.

It is an arithmetic number, because the mean of its divisors is an integer number (5116872720960).

Almost surely, 2^{100011011220105} is an apocalyptic number.

100011011220105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100011011220105 is a deficient number, since it is larger than the sum of its proper divisors (63728915850615).

100011011220105 is a wasteful number, since it uses less digits than its factorization.

100011011220105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917821.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 100011011220105 its reverse (501022110110001), we get a palindrome (601033121330106).

The spelling of 100011011220105 in words is "one hundred trillion, eleven billion, eleven million, two hundred twenty thousand, one hundred five".