100110021001153 has 2 divisors, whose sum is σ = 100110021001154. Its totient is φ = 100110021001152.

The previous prime is 100110021001129. The next prime is 100110021001217. The reversal of 100110021001153 is 351100120011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94362029136144 + 5747991865009 = 9714012^2 + 2397497^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110021001153 - 2²¹ = 100110018904001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110021001453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055010500576 + 50055010500577.

It is an arithmetic number, because the mean of its divisors is an integer number (50055010500577).

Almost surely, 2^{100110021001153} is an apocalyptic number.

It is an amenable number.

100110021001153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110021001153 is an equidigital number, since it uses as much as digits as its factorization.

100110021001153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100110021001153 its reverse (351100120011001), we get a palindrome (451210141012154).

The spelling of 100110021001153 in words is "one hundred trillion, one hundred ten billion, twenty-one million, one thousand, one hundred fifty-three".