102020100101 has 32 divisors (see below), whose sum is σ = 108836904960. Its totient is φ = 95490504000.

The previous prime is 102020100079. The next prime is 102020100157. The reversal of 102020100101 is 101001020201.

It is a cyclic number.

It is not a de Polignac number, because 102020100101 - 2¹⁸ = 102019837957 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 (102020100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30848090 + ... + 30851396.

It is an arithmetic number, because the mean of its divisors is an integer number (3401153280).

Almost surely, 2^102020100101 is an apocalyptic number.

It is an amenable number.

102020100101 is a deficient number, since it is larger than the sum of its proper divisors (6816804859).

102020100101 is a wasteful number, since it uses less digits than its factorization.

102020100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102020100101 its reverse (101001020201), we get a palindrome (203021120302).

It can be divided in two parts, 102020100 and 101, that added together give a palindrome (102020201).

The spelling of 102020100101 in words is "one hundred two billion, twenty million, one hundred thousand, one hundred one".