101002586905552 has 160 divisors (see below), whose sum is σ = 213555027496320. Its totient is φ = 46111655116800.

The previous prime is 101002586905543. The next prime is 101002586905637. The reversal of 101002586905552 is 255509685200101.

It is a happy number.

It is a super-2 number, since 2×101002586905552² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002586905496 and 101002586905505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289092163 + ... + 2289136285.

It is an arithmetic number, because the mean of its divisors is an integer number (1334718921852).

Almost surely, 2^{101002586905552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002586905552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106777513748160).

101002586905552 is an abundant number, since it is smaller than the sum of its proper divisors (112552440590768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002586905552 is a wasteful number, since it uses less digits than its factorization.

101002586905552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46101 (or 46095 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 49.

The spelling of 101002586905552 in words is "one hundred one trillion, two billion, five hundred eighty-six million, nine hundred five thousand, five hundred fifty-two".