101106056050553 has 2 divisors, whose sum is σ = 101106056050554. Its totient is φ = 101106056050552.

The previous prime is 101106056050541. The next prime is 101106056050561. The reversal of 101106056050553 is 355050650601101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97805137563904 + 3300918486649 = 9889648^2 + 1816843^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106056050553 - 2⁴ = 101106056050537 is a prime.

It is not a weakly prime, because it can be changed into another prime (101106056070553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553028025276 + 50553028025277.

It is an arithmetic number, because the mean of its divisors is an integer number (50553028025277).

Almost surely, 2^{101106056050553} is an apocalyptic number.

It is an amenable number.

101106056050553 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106056050553 is an equidigital number, since it uses as much as digits as its factorization.

101106056050553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 67500, while the sum is 38.

The spelling of 101106056050553 in words is "one hundred one trillion, one hundred six billion, fifty-six million, fifty thousand, five hundred fifty-three".