20154004101 has 96 divisors (see below), whose sum is σ = 38494310400. Its totient is φ = 9837181440.

The previous prime is 20154004099. The next prime is 20154004163. The reversal of 20154004101 is 10140045102.

20154004101 is a `hidden beast` number, since 20 + 1 + 540 + 0 + 4 + 101 = 666.

It is not a de Polignac number, because 20154004101 - 2¹ = 20154004099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20154004181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9883240 + ... + 9885278.

It is an arithmetic number, because the mean of its divisors is an integer number (400982400).

Almost surely, 2^20154004101 is an apocalyptic number.

20154004101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20154004101 is a deficient number, since it is larger than the sum of its proper divisors (18340306299).

20154004101 is a wasteful number, since it uses less digits than its factorization.

20154004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 20154004101 its reverse (10140045102), we get a palindrome (30294049203).

The spelling of 20154004101 in words is "twenty billion, one hundred fifty-four million, four thousand, one hundred one".