120102200010 has 160 divisors (see below), whose sum is σ = 349798735440. Its totient is φ = 29392284672.

The previous prime is 120102200003. The next prime is 120102200051. The reversal of 120102200010 is 10002201021.

It can be written as a sum of positive squares in 8 ways, for example, as 45800708121 + 74301491889 = 214011^2 + 272583^2 .

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 = 120102199965 and 120102200001.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1788726 + ... + 1854654.

Almost surely, 2^120102200010 is an apocalyptic number.

120102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120102200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174899367720).

120102200010 is an abundant number, since it is smaller than the sum of its proper divisors (229696535430).

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

120102200010 is a wasteful number, since it uses less digits than its factorization.

120102200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66134 (or 66125 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120102200010 its reverse (10002201021), we get a palindrome (130104401031).

The spelling of 120102200010 in words is "one hundred twenty billion, one hundred two million, two hundred thousand, ten".