102022101009 has 6 divisors (see below), whose sum is σ = 147365257026. Its totient is φ = 68014734000.

The previous prime is 102022100987. The next prime is 102022101011. The reversal of 102022101009 is 900101220201.

It can be written as a sum of positive squares in only one way, i.e., 82212945984 + 19809155025 = 286728^2 + 140745^2 .

It is not a de Polignac number, because 102022101009 - 2⁵ = 102022100977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022100982 and 102022101000.

It is not an unprimeable number, because it can be changed into a prime (102022101509) 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 5 ways as a sum of consecutive naturals, for example, 5667894492 + ... + 5667894509.

It is an arithmetic number, because the mean of its divisors is an integer number (24560876171).

Almost surely, 2^102022101009 is an apocalyptic number.

It is an amenable number.

102022101009 is a deficient number, since it is larger than the sum of its proper divisors (45343156017).

102022101009 is a wasteful number, since it uses less digits than its factorization.

102022101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335789007 (or 11335789004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 102022101009 in words is "one hundred two billion, twenty-two million, one hundred one thousand, nine".