100202000001220 has 48 divisors (see below), whose sum is σ = 226611492187248. Its totient is φ = 36997528435200.

The previous prime is 100202000001199. The next prime is 100202000001223. The reversal of 100202000001220 is 22100000202001.

It can be written as a sum of positive squares in 8 ways, for example, as 34655261944384 + 65546738056836 = 5886872^2 + 8096094^2 .

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 = 100202000001197 and 100202000001206.

It is not an unprimeable number, because it can be changed into a prime (100202000001223) 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, 99521362 + ... + 100523158.

It is an arithmetic number, because the mean of its divisors is an integer number (4721072753901).

Almost surely, 2^{100202000001220} is an apocalyptic number.

100202000001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202000001220 is an abundant number, since it is smaller than the sum of its proper divisors (126409492186028).

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

100202000001220 is a wasteful number, since it uses less digits than its factorization.

100202000001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386520 (or 1386518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202000001220 its reverse (22100000202001), we get a palindrome (122302000203221).

The spelling of 100202000001220 in words is "one hundred trillion, two hundred two billion, one thousand, two hundred twenty".