100102000220010 has 40 divisors (see below), whose sum is σ = 269163156149316. Its totient is φ = 26693866725120.

The previous prime is 100102000220003. The next prime is 100102000220041. The reversal of 100102000220010 is 10022000201001.

It can be written as a sum of positive squares in 2 ways, for example, as 97943542669449 + 2158457550561 = 9896643^2 + 1469169^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100102000219974 and 100102000220001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61791357351 + ... + 61791358970.

Almost surely, 2^{100102000220010} is an apocalyptic number.

100102000220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102000220010 is an abundant number, since it is smaller than the sum of its proper divisors (169061155929306).

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

100102000220010 is a wasteful number, since it uses less digits than its factorization.

100102000220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123582716340 (or 123582716331 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102000220010 its reverse (10022000201001), we get a palindrome (110124000421011).

The spelling of 100102000220010 in words is "one hundred trillion, one hundred two billion, two hundred twenty thousand, ten".