110201121001010 has 32 divisors (see below), whose sum is σ = 213753401048880. Its totient is φ = 40664355821568.

The previous prime is 110201121000983. The next prime is 110201121001019. The reversal of 110201121001010 is 10100121102011.

It can be written as a sum of positive squares in 8 ways, for example, as 41631310686289 + 68569810314721 = 6452233^2 + 8280689^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110201121000982 and 110201121001000.

It is not an unprimeable number, because it can be changed into a prime (110201121001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263215607 + ... + 263633946.

Almost surely, 2^{110201121001010} is an apocalyptic number.

110201121001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110201121001010 is a deficient number, since it is larger than the sum of its proper divisors (103552280047870).

110201121001010 is a wasteful number, since it uses less digits than its factorization.

110201121001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526851182.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110201121001010 its reverse (10100121102011), we get a palindrome (120301242103021).

The spelling of 110201121001010 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty-one million, one thousand, ten".