10101028027104 has 384 divisors, whose sum is σ = 33819225753600. Its totient is φ = 2873243197440.

The previous prime is 10101028027061. The next prime is 10101028027109. The reversal of 10101028027104 is 40172082010101.

10101028027104 is a `hidden beast` number, since 10 + 101 + 0 + 280 + 271 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101028027109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3871607752 + ... + 3871610360.

It is an arithmetic number, because the mean of its divisors is an integer number (88070900400).

Almost surely, 2^{10101028027104} is an apocalyptic number.

10101028027104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101028027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909612876800).

10101028027104 is an abundant number, since it is smaller than the sum of its proper divisors (23718197726496).

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

10101028027104 is a wasteful number, since it uses less digits than its factorization.

10101028027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10101028027104 in words is "ten trillion, one hundred one billion, twenty-eight million, twenty-seven thousand, one hundred four".