101285955073 has 16 divisors (see below), whose sum is σ = 103457306880. Its totient is φ = 99131760000.

The previous prime is 101285955049. The next prime is 101285955097. The reversal of 101285955073 is 370559582101.

It is an interprime number because it is at equal distance from previous prime (101285955049) and next prime (101285955097).

It is a cyclic number.

It is not a de Polignac number, because 101285955073 - 2¹⁷ = 101285824001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101285955773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31153698 + ... + 31156948.

It is an arithmetic number, because the mean of its divisors is an integer number (6466081680).

Almost surely, 2^101285955073 is an apocalyptic number.

It is an amenable number.

101285955073 is a deficient number, since it is larger than the sum of its proper divisors (2171351807).

101285955073 is a wasteful number, since it uses less digits than its factorization.

101285955073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688.

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 101285955073 in words is "one hundred one billion, two hundred eighty-five million, nine hundred fifty-five thousand, seventy-three".