100820272002000 has 80 divisors (see below), whose sum is σ = 325044556953792. Its totient is φ = 26885405865600.

The previous prime is 100820272001957. The next prime is 100820272002001. The reversal of 100820272002000 is 200272028001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100820272002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8401683334 + ... + 8401695333.

Almost surely, 2^{100820272002000} is an apocalyptic number.

100820272002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100820272002000 is an abundant number, since it is smaller than the sum of its proper divisors (224224284951792).

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

100820272002000 is a wasteful number, since it uses less digits than its factorization.

100820272002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16803378693 (or 16803378677 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 100820272002000 in words is "one hundred trillion, eight hundred twenty billion, two hundred seventy-two million, two thousand".