1001828201100 has 72 divisors (see below), whose sum is σ = 2927322253968. Its totient is φ = 264509088000.

The previous prime is 1001828201081. The next prime is 1001828201161. The reversal of 1001828201100 is 11028281001.

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, 16501519 + ... + 16562118.

Almost surely, 2^{1001828201100} is an apocalyptic number.

1001828201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001828201100 is an abundant number, since it is smaller than the sum of its proper divisors (1925494052868).

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

1001828201100 is a wasteful number, since it uses less digits than its factorization.

1001828201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33063755 (or 33063748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 1001828201100 in words is "one trillion, one billion, eight hundred twenty-eight million, two hundred one thousand, one hundred".