1002120200010 has 48 divisors (see below), whose sum is σ = 2675931786216. Its totient is φ = 260009564544.

The previous prime is 1002120200009. The next prime is 1002120200021. The reversal of 1002120200010 is 100020212001.

1002120200010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 834805660329 + 167314539681 = 913677^2 + 409041^2 .

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 = 1002120199965 and 1002120200001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150465169 + ... + 150471828.

Almost surely, 2^{1002120200010} is an apocalyptic number.

1002120200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002120200010 is an abundant number, since it is smaller than the sum of its proper divisors (1673811586206).

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

1002120200010 is a wasteful number, since it uses less digits than its factorization.

1002120200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300937047 (or 300937044 counting only the distinct ones).

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

Adding to 1002120200010 its reverse (100020212001), we get a palindrome (1102140412011).

The spelling of 1002120200010 in words is "one trillion, two billion, one hundred twenty million, two hundred thousand, ten".