1020201022100 has 36 divisors (see below), whose sum is σ = 2384131314684. Its totient is φ = 376689607680.

The previous prime is 1020201022097. The next prime is 1020201022111. The reversal of 1020201022100 is 12201020201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 262834630276 + 757366391824 = 512674^2 + 870268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392383709 + ... + 392386308.

Almost surely, 2^{1020201022100} is an apocalyptic number.

1020201022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201022100 is an abundant number, since it is smaller than the sum of its proper divisors (1363930292584).

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

1020201022100 is a wasteful number, since it uses less digits than its factorization.

1020201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784770044 (or 784770037 counting only the distinct ones).

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

Adding to 1020201022100 its reverse (12201020201), we get a palindrome (1032402042301).

The spelling of 1020201022100 in words is "one trillion, twenty billion, two hundred one million, twenty-two thousand, one hundred".