101263636552104 has 192 divisors, whose sum is σ = 295597185811200. Its totient is φ = 31132216677888.

The previous prime is 101263636552049. The next prime is 101263636552109. The reversal of 101263636552104 is 401255636362101.

It is a happy number.

101263636552104 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 3 + 63 + 65 + 521 + 0 + 4 = 666.

It is a super-2 number, since 2×101263636552104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101263636552104.

It is not an unprimeable number, because it can be changed into a prime (101263636552109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7022923407 + ... + 7022937825.

It is an arithmetic number, because the mean of its divisors is an integer number (1539568676100).

Almost surely, 2^{101263636552104} 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 101263636552104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147798592905600).

101263636552104 is an abundant number, since it is smaller than the sum of its proper divisors (194333549259096).

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

101263636552104 is a wasteful number, since it uses less digits than its factorization.

101263636552104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20144 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 101263636552104 in words is "one hundred one trillion, two hundred sixty-three billion, six hundred thirty-six million, five hundred fifty-two thousand, one hundred four".