101121101205 has 32 divisors (see below), whose sum is σ = 162104979456. Its totient is φ = 53827631424.

The previous prime is 101121101201. The next prime is 101121101251. The reversal of 101121101205 is 502101121101.

It is not a de Polignac number, because 101121101205 - 2² = 101121101201 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121101201) 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, 20454964 + ... + 20459906.

It is an arithmetic number, because the mean of its divisors is an integer number (5065780608).

Almost surely, 2^101121101205 is an apocalyptic number.

101121101205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101121101205 is a deficient number, since it is larger than the sum of its proper divisors (60983878251).

101121101205 is a wasteful number, since it uses less digits than its factorization.

101121101205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297.

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

Adding to 101121101205 its reverse (502101121101), we get a palindrome (603222222306).

The spelling of 101121101205 in words is "one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred five".