102200020221012 has 288 divisors, whose sum is σ = 297378495977472. Its totient is φ = 27166943510784.

The previous prime is 102200020220971. The next prime is 102200020221031. The reversal of 102200020221012 is 210122020002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200020220982 and 102200020221000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662758593 + ... + 1662820055.

It is an arithmetic number, because the mean of its divisors is an integer number (1032564222144).

Almost surely, 2^{102200020221012} is an apocalyptic number.

102200020221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200020221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148689247988736).

102200020221012 is an abundant number, since it is smaller than the sum of its proper divisors (195178475756460).

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

102200020221012 is a wasteful number, since it uses less digits than its factorization.

102200020221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64867 (or 64858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200020221012 its reverse (210122020002201), we get a palindrome (312322040223213).

The spelling of 102200020221012 in words is "one hundred two trillion, two hundred billion, twenty million, two hundred twenty-one thousand, twelve".