10101210017953 has 2 divisors, whose sum is σ = 10101210017954. Its totient is φ = 10101210017952.

The previous prime is 10101210017893. The next prime is 10101210017959. The reversal of 10101210017953 is 35971001210101.

10101210017953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9213361763904 + 887848254049 = 3035352^2 + 942257^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101210017953 - 2²¹ = 10101207920801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101210017959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050605008976 + 5050605008977.

It is an arithmetic number, because the mean of its divisors is an integer number (5050605008977).

Almost surely, 2^{10101210017953} is an apocalyptic number.

It is an amenable number.

10101210017953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101210017953 is an equidigital number, since it uses as much as digits as its factorization.

10101210017953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 31.

The spelling of 10101210017953 in words is "ten trillion, one hundred one billion, two hundred ten million, seventeen thousand, nine hundred fifty-three".