100201100021020 has 48 divisors (see below), whose sum is σ = 210726810534240. Its totient is φ = 40022459253504.

The previous prime is 100201100020999. The next prime is 100201100021051. The reversal of 100201100021020 is 20120001102001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100201100020988 and 100201100021006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82717066 + ... + 83919694.

It is an arithmetic number, because the mean of its divisors is an integer number (4390141886130).

Almost surely, 2^{100201100021020} is an apocalyptic number.

100201100021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201100021020 is an abundant number, since it is smaller than the sum of its proper divisors (110525710513220).

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

100201100021020 is a wasteful number, since it uses less digits than its factorization.

100201100021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208662 (or 1208660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201100021020 its reverse (20120001102001), we get a palindrome (120321101123021).

The spelling of 100201100021020 in words is "one hundred trillion, two hundred one billion, one hundred million, twenty-one thousand, twenty".