101000022101101 has 16 divisors (see below), whose sum is σ = 108553346899200. Its totient is φ = 93631568329728.

The previous prime is 101000022101071. The next prime is 101000022101107. The reversal of 101000022101101 is 101101220000101.

It is a cyclic number.

It is not a de Polignac number, because 101000022101101 - 2¹³ = 101000022092909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000022101107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89180460 + ... + 90305893.

It is an arithmetic number, because the mean of its divisors is an integer number (6784584181200).

Almost surely, 2^{101000022101101} is an apocalyptic number.

It is an amenable number.

101000022101101 is a deficient number, since it is larger than the sum of its proper divisors (7553324798099).

101000022101101 is a wasteful number, since it uses less digits than its factorization.

101000022101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179486868.

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

Adding to 101000022101101 its reverse (101101220000101), we get a palindrome (202101242101202).

The spelling of 101000022101101 in words is "one hundred one trillion, twenty-two million, one hundred one thousand, one hundred one".