1202010020100 has 216 divisors, whose sum is σ = 3871689461640. Its totient is φ = 311693322240.

The previous prime is 1202010020093. The next prime is 1202010020119. The reversal of 1202010020100 is 10200102021.

It can be written as a sum of positive squares in 12 ways, for example, as 58038591744 + 1143971428356 = 240912^2 + 1069566^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63693466 + ... + 63712334.

Almost surely, 2^{1202010020100} is an apocalyptic number.

1202010020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935844730820).

1202010020100 is an abundant number, since it is smaller than the sum of its proper divisors (2669679441540).

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

1202010020100 is a wasteful number, since it uses less digits than its factorization.

1202010020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839 (or 20829 counting only the distinct ones).

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

Adding to 1202010020100 its reverse (10200102021), we get a palindrome (1212210122121).

The spelling of 1202010020100 in words is "one trillion, two hundred two billion, ten million, twenty thousand, one hundred".