102022000020 has 72 divisors (see below), whose sum is σ = 309573004104. Its totient is φ = 27196524288.

The previous prime is 102021999977. The next prime is 102022000021. The reversal of 102022000020 is 20000220201.

It can be written as a sum of positive squares in 4 ways, for example, as 9604784016 + 92417216004 = 98004^2 + 304002^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102021999966 and 102022000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022000021) 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 23 ways as a sum of consecutive naturals, for example, 436422 + ... + 628098.

It is an arithmetic number, because the mean of its divisors is an integer number (4299625057).

Almost surely, 2^102022000020 is an apocalyptic number.

102022000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022000020 is an abundant number, since it is smaller than the sum of its proper divisors (207551004084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022000020 is a wasteful number, since it uses less digits than its factorization.

102022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194649 (or 194644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102022000020 its reverse (20000220201), we get a palindrome (122022220221).

The spelling of 102022000020 in words is "one hundred two billion, twenty-two million, twenty", and thus it is an aban number.