102200102020 has 12 divisors (see below), whose sum is σ = 214620214284. Its totient is φ = 40880040800.

The previous prime is 102200102009. The next prime is 102200102023. The reversal of 102200102020 is 20201002201.

It can be written as a sum of positive squares in 2 ways, for example, as 13835405376 + 88364696644 = 117624^2 + 297262^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102200101988 and 102200102006.

It is not an unprimeable number, because it can be changed into a prime (102200102023) 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 3 ways as a sum of consecutive naturals, for example, 2555002531 + ... + 2555002570.

It is an arithmetic number, because the mean of its divisors is an integer number (17885017857).

Almost surely, 2^102200102020 is an apocalyptic number.

102200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200102020 is an abundant number, since it is smaller than the sum of its proper divisors (112420112264).

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

102200102020 is a wasteful number, since it uses less digits than its factorization.

102200102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110005110 (or 5110005108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102200102020 its reverse (20201002201), we get a palindrome (122401104221).

The spelling of 102200102020 in words is "one hundred two billion, two hundred million, one hundred two thousand, twenty".