1012202020100 has 36 divisors (see below), whose sum is σ = 2325682998324. Its totient is φ = 381064289280.

The previous prime is 1012202020097. The next prime is 1012202020103. The reversal of 1012202020100 is 10202022101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012202020097) and next prime (1012202020103).

It can be written as a sum of positive squares in 6 ways, for example, as 6016484356 + 1006185535744 = 77566^2 + 1003088^2 .

It is not an unprimeable number, because it can be changed into a prime (1012202020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297704777 + ... + 297708176.

It is an arithmetic number, because the mean of its divisors is an integer number (64602305509).

Almost surely, 2^{1012202020100} is an apocalyptic number.

1012202020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012202020100 is an abundant number, since it is smaller than the sum of its proper divisors (1313480978224).

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

1012202020100 is a wasteful number, since it uses less digits than its factorization.

1012202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595412984 (or 595412977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012202020100 its reverse (10202022101), we get a palindrome (1022404042201).

The spelling of 1012202020100 in words is "one trillion, twelve billion, two hundred two million, twenty thousand, one hundred".