1000212010020 has 60 divisors (see below), whose sum is σ = 3137702125404. Its totient is φ = 266723202240.

The previous prime is 1000212010009. The next prime is 1000212010043. The reversal of 1000212010020 is 200102120001.

It can be written as a sum of positive squares in 2 ways, for example, as 648743258916 + 351468751104 = 805446^2 + 592848^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 1000212009984 and 1000212010011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 308705791 + ... + 308709030.

Almost surely, 2^{1000212010020} is an apocalyptic number.

1000212010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212010020 is an abundant number, since it is smaller than the sum of its proper divisors (2137490115384).

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

1000212010020 is a wasteful number, since it uses less digits than its factorization.

1000212010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617414842 (or 617414831 counting only the distinct ones).

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

Adding to 1000212010020 its reverse (200102120001), we get a palindrome (1200314130021).

The spelling of 1000212010020 in words is "one trillion, two hundred twelve million, ten thousand, twenty".