48735129101 has 2 divisors, whose sum is σ = 48735129102. Its totient is φ = 48735129100.

The previous prime is 48735129077. The next prime is 48735129119. The reversal of 48735129101 is 10192153784.

48735129101 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., 38848804201 + 9886324900 = 197101^2 + 99430^2 .

It is a cyclic number.

It is not a de Polignac number, because 48735129101 - 2¹⁴ = 48735112717 is a prime.

It is a super-2 number, since 2×48735129101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48735129701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24367564550 + 24367564551.

It is an arithmetic number, because the mean of its divisors is an integer number (24367564551).

Almost surely, 2^48735129101 is an apocalyptic number.

It is an amenable number.

48735129101 is a deficient number, since it is larger than the sum of its proper divisors (1).

48735129101 is an equidigital number, since it uses as much as digits as its factorization.

48735129101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 48735129101 in words is "forty-eight billion, seven hundred thirty-five million, one hundred twenty-nine thousand, one hundred one".