10101331021153 has 2 divisors, whose sum is σ = 10101331021154. Its totient is φ = 10101331021152.

The previous prime is 10101331021097. The next prime is 10101331021213. The reversal of 10101331021153 is 35112013310101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6162423950929 + 3938907070224 = 2482423^2 + 1984668^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101331021153 - 2²⁵ = 10101297466721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101331021253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050665510576 + 5050665510577.

It is an arithmetic number, because the mean of its divisors is an integer number (5050665510577).

Almost surely, 2^{10101331021153} is an apocalyptic number.

It is an amenable number.

10101331021153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101331021153 is an equidigital number, since it uses as much as digits as its factorization.

10101331021153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 10101331021153 its reverse (35112013310101), we get a palindrome (45213344331254).

The spelling of 10101331021153 in words is "ten trillion, one hundred one billion, three hundred thirty-one million, twenty-one thousand, one hundred fifty-three".