101011010191028 has 144 divisors (see below), whose sum is σ = 218402080444800. Its totient is φ = 40617491410944.

The previous prime is 101011010191027. The next prime is 101011010191043. The reversal of 101011010191028 is 820191010110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011010190988 and 101011010191006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011010191027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520095148 + ... + 1520161596.

It is an arithmetic number, because the mean of its divisors is an integer number (1516681114200).

Almost surely, 2^{101011010191028} 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 101011010191028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109201040222400).

101011010191028 is an abundant number, since it is smaller than the sum of its proper divisors (117391070253772).

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

101011010191028 is a wasteful number, since it uses less digits than its factorization.

101011010191028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67894 (or 67885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 26.

The spelling of 101011010191028 in words is "one hundred one trillion, eleven billion, ten million, one hundred ninety-one thousand, twenty-eight".