102000220101 has 24 divisors (see below), whose sum is σ = 164138290680. Its totient is φ = 60604903296.

The previous prime is 102000220079. The next prime is 102000220139. The reversal of 102000220101 is 101022000201.

It can be written as a sum of positive squares in 4 ways, for example, as 1019269476 + 100980950625 = 31926^2 + 317775^2 .

It is not a de Polignac number, because 102000220101 - 2⁶ = 102000220037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000220171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15027586 + ... + 15034371.

It is an arithmetic number, because the mean of its divisors is an integer number (6839095445).

Almost surely, 2^102000220101 is an apocalyptic number.

It is an amenable number.

102000220101 is a deficient number, since it is larger than the sum of its proper divisors (62138070579).

102000220101 is a wasteful number, since it uses less digits than its factorization.

102000220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062005 (or 30062002 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000220101 its reverse (101022000201), we get a palindrome (203022220302).

The spelling of 102000220101 in words is "one hundred two billion, two hundred twenty thousand, one hundred one".