101001010221105 has 8 divisors (see below), whose sum is σ = 161601616353792. Its totient is φ = 53867205451248.

The previous prime is 101001010221079. The next prime is 101001010221107. The reversal of 101001010221105 is 501122010100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101001010221105 - 2²⁶ = 101000943112241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6733400681407 = 101001010221105 / (1 + 0 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 2 + 2 + 1 + 1 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (101001010221107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3366700340689 + ... + 3366700340718.

It is an arithmetic number, because the mean of its divisors is an integer number (20200202044224).

Almost surely, 2^{101001010221105} is an apocalyptic number.

101001010221105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101001010221105 is a deficient number, since it is larger than the sum of its proper divisors (60600606132687).

101001010221105 is an equidigital number, since it uses as much as digits as its factorization.

101001010221105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733400681415.

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

Adding to 101001010221105 its reverse (501122010100101), we get a palindrome (602123020321206).

The spelling of 101001010221105 in words is "one hundred one trillion, one billion, ten million, two hundred twenty-one thousand, one hundred five".