101106056050537 has 2 divisors, whose sum is σ = 101106056050538. Its totient is φ = 101106056050536.

The previous prime is 101106056050477. The next prime is 101106056050541. The reversal of 101106056050537 is 735050650601101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91256350846761 + 9849705203776 = 9552819^2 + 3138424^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106056050537 - 2⁷ = 101106056050409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101106056050537.

It is not a weakly prime, because it can be changed into another prime (101106056053537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553028025268 + 50553028025269.

It is an arithmetic number, because the mean of its divisors is an integer number (50553028025269).

Almost surely, 2^{101106056050537} is an apocalyptic number.

It is an amenable number.

101106056050537 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106056050537 is an equidigital number, since it uses as much as digits as its factorization.

101106056050537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94500, while the sum is 40.

The spelling of 101106056050537 in words is "one hundred one trillion, one hundred six billion, fifty-six million, fifty thousand, five hundred thirty-seven".