100201100001010 has 16 divisors (see below), whose sum is σ = 180364469161176. Its totient is φ = 40079886853888.

The previous prime is 100201100001001. The next prime is 100201100001019. The reversal of 100201100001010 is 10100001102001.

It is an interprime number because it is at equal distance from previous prime (100201100001001) and next prime (100201100001019).

It can be written as a sum of positive squares in 4 ways, for example, as 68202607529169 + 31998492471841 = 8258487^2 + 5656721^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201100000984 and 100201100001002.

It is not an unprimeable number, because it can be changed into a prime (100201100001019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68382097 + ... + 69832036.

Almost surely, 2^{100201100001010} is an apocalyptic number.

100201100001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201100001010 is a deficient number, since it is larger than the sum of its proper divisors (80163369160166).

100201100001010 is a wasteful number, since it uses less digits than its factorization.

100201100001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138286637.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201100001010 its reverse (10100001102001), we get a palindrome (110301101103011).

The spelling of 100201100001010 in words is "one hundred trillion, two hundred one billion, one hundred million, one thousand, ten".