10102200002000 has 80 divisors (see below), whose sum is σ = 25022903212944. Its totient is φ = 3942321920000.

The previous prime is 10102200001991. The next prime is 10102200002087. The reversal of 10102200002000 is 20000220101.

It can be written as a sum of positive squares in 8 ways, for example, as 6289803170704 + 3812396831296 = 2507948^2 + 1952536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61516781 + ... + 61680780.

Almost surely, 2^{10102200002000} is an apocalyptic number.

10102200002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102200002000 is an abundant number, since it is smaller than the sum of its proper divisors (14920703210944).

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

10102200002000 is a wasteful number, since it uses less digits than its factorization.

10102200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123197625 (or 123197609 counting only the distinct ones).

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

Adding to 10102200002000 its reverse (20000220101), we get a palindrome (10122200222101).

The spelling of 10102200002000 in words is "ten trillion, one hundred two billion, two hundred million, two thousand".