101005281388253 has 16 divisors (see below), whose sum is σ = 116251133222400. Its totient is φ = 86792039077680.

The previous prime is 101005281388237. The next prime is 101005281388301. The reversal of 101005281388253 is 352883182500101.

It is not a de Polignac number, because 101005281388253 - 2⁴ = 101005281388237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101005281388198 and 101005281388207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005281388553) 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, 550339751 + ... + 550523252.

It is an arithmetic number, because the mean of its divisors is an integer number (7265695826400).

Almost surely, 2^{101005281388253} is an apocalyptic number.

It is an amenable number.

101005281388253 is a deficient number, since it is larger than the sum of its proper divisors (15245851834147).

101005281388253 is a wasteful number, since it uses less digits than its factorization.

101005281388253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100863472.

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 101005281388253 in words is "one hundred one trillion, five billion, two hundred eighty-one million, three hundred eighty-eight thousand, two hundred fifty-three".