1000210102120 has 64 divisors (see below), whose sum is σ = 2421916750800. Its totient is φ = 370376724480.

The previous prime is 1000210102079. The next prime is 1000210102127. The reversal of 1000210102120 is 212010120001.

It can be written as a sum of positive squares in 8 ways, for example, as 110368799524 + 889841302596 = 332218^2 + 943314^2 .

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 = 1000210102097 and 1000210102106.

It is not an unprimeable number, because it can be changed into a prime (1000210102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12015055 + ... + 12098014.

Almost surely, 2^{1000210102120} is an apocalyptic number.

1000210102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000210102120 is an abundant number, since it is smaller than the sum of its proper divisors (1421706648680).

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

1000210102120 is a wasteful number, since it uses less digits than its factorization.

1000210102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24113158 (or 24113154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000210102120 its reverse (212010120001), we get a palindrome (1212220222121).

The spelling of 1000210102120 in words is "one trillion, two hundred ten million, one hundred two thousand, one hundred twenty".