110000201010100 has 18 divisors (see below), whose sum is σ = 238700436192134. Its totient is φ = 44000080404000.

The previous prime is 110000201010097. The next prime is 110000201010103. The reversal of 110000201010100 is 1010102000011.

It is an interprime number because it is at equal distance from previous prime (110000201010097) and next prime (110000201010103).

It can be written as a sum of positive squares in 3 ways, for example, as 16651329004816 + 93348872005284 = 4080604^2 + 9661722^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000201010103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550001004951 + ... + 550001005150.

Almost surely, 2^{110000201010100} is an apocalyptic number.

110000201010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000201010100 is an abundant number, since it is smaller than the sum of its proper divisors (128700235182034).

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

110000201010100 is a wasteful number, since it uses less digits than its factorization.

110000201010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100002010115 (or 1100002010108 counting only the distinct ones).

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

Adding to 110000201010100 its reverse (1010102000011), we get a palindrome (111010303010111).

The spelling of 110000201010100 in words is "one hundred ten trillion, two hundred one million, ten thousand, one hundred".