20102102101 has 8 divisors (see below), whose sum is σ = 20200703544. Its totient is φ = 20003705280.

The previous prime is 20102102063. The next prime is 20102102219. The reversal of 20102102101 is 10120120102.

It can be written as a sum of positive squares in 4 ways, for example, as 18340201476 + 1761900625 = 135426^2 + 41975^2 .

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 20102102101 - 2¹⁹ = 20101577813 is a prime.

It is a super-2 number, since 2×20102102101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102112101) 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 7 ways as a sum of consecutive naturals, for example, 147691 + ... + 249031.

It is an arithmetic number, because the mean of its divisors is an integer number (2525087943).

Almost surely, 2^20102102101 is an apocalyptic number.

It is an amenable number.

20102102101 is a deficient number, since it is larger than the sum of its proper divisors (98601443).

20102102101 is a wasteful number, since it uses less digits than its factorization.

20102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102311.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20102102101 its reverse (10120120102), we get a palindrome (30222222203).

The spelling of 20102102101 in words is "twenty billion, one hundred two million, one hundred two thousand, one hundred one".