101354659828153 has 2 divisors, whose sum is σ = 101354659828154. Its totient is φ = 101354659828152.

The previous prime is 101354659828127. The next prime is 101354659828181. The reversal of 101354659828153 is 351828956453101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98136126951424 + 3218532876729 = 9906368^2 + 1794027^2 .

It is a cyclic number.

It is not a de Polignac number, because 101354659828153 - 2⁴⁵ = 66170287739321 is a prime.

It is a super-2 number, since 2×101354659828153² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101354659828091 and 101354659828100.

It is not a weakly prime, because it can be changed into another prime (101354659828193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50677329914076 + 50677329914077.

It is an arithmetic number, because the mean of its divisors is an integer number (50677329914077).

Almost surely, 2^{101354659828153} is an apocalyptic number.

It is an amenable number.

101354659828153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101354659828153 is an equidigital number, since it uses as much as digits as its factorization.

101354659828153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104000, while the sum is 61.

The spelling of 101354659828153 in words is "one hundred one trillion, three hundred fifty-four billion, six hundred fifty-nine million, eight hundred twenty-eight thousand, one hundred fifty-three".