102110220220100 has 72 divisors (see below), whose sum is σ = 226989384411048. Its totient is φ = 39846866227200.

The previous prime is 102110220220097. The next prime is 102110220220109. The reversal of 102110220220100 is 1022022011201.

It can be written as a sum of positive squares in 12 ways, for example, as 87074578053376 + 15035642166724 = 9331376^2 + 3877582^2 .

It is not an unprimeable number, because it can be changed into a prime (102110220220109) 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, 170231912 + ... + 170830688.

Almost surely, 2^{102110220220100} is an apocalyptic number.

102110220220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110220220100 is an abundant number, since it is smaller than the sum of its proper divisors (124879164190948).

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

102110220220100 is a wasteful number, since it uses less digits than its factorization.

102110220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640425 (or 640418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102110220220100 its reverse (1022022011201), we get a palindrome (103132242231301).

The spelling of 102110220220100 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty million, two hundred twenty thousand, one hundred".