100102020220100 has 72 divisors (see below), whose sum is σ = 226668742771968. Its totient is φ = 38299404774400.

The previous prime is 100102020220087. The next prime is 100102020220109. The reversal of 100102020220100 is 1022020201001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100102020220109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210513812 + ... + 210988788.

It is an arithmetic number, because the mean of its divisors is an integer number (3148176982944).

Almost surely, 2^{100102020220100} is an apocalyptic number.

100102020220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102020220100 is an abundant number, since it is smaller than the sum of its proper divisors (126566722551868).

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

100102020220100 is a wasteful number, since it uses less digits than its factorization.

100102020220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566645 (or 566638 counting only the distinct ones).

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

Adding to 100102020220100 its reverse (1022020201001), we get a palindrome (101124040421101).

The spelling of 100102020220100 in words is "one hundred trillion, one hundred two billion, twenty million, two hundred twenty thousand, one hundred".