20101210100101 has 8 divisors (see below), whose sum is σ = 21701984636024. Its totient is φ = 18508225222080.

The previous prime is 20101210100053. The next prime is 20101210100119. The reversal of 20101210100101 is 10100101210102.

It can be written as a sum of positive squares in 4 ways, for example, as 27234900900 + 20073975199201 = 165030^2 + 4480399^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 20101210100101 - 2⁷ = 20101210099973 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 (20101210100701) 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, 1947409110 + ... + 1947419431.

It is an arithmetic number, because the mean of its divisors is an integer number (2712748079503).

Almost surely, 2^{20101210100101} is an apocalyptic number.

It is an amenable number.

20101210100101 is a deficient number, since it is larger than the sum of its proper divisors (1600774535923).

20101210100101 is a wasteful number, since it uses less digits than its factorization.

20101210100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894828951.

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

Adding to 20101210100101 its reverse (10100101210102), we get a palindrome (30201311310203).

The spelling of 20101210100101 in words is "twenty trillion, one hundred one billion, two hundred ten million, one hundred thousand, one hundred one".