1010556006100 has 72 divisors (see below), whose sum is σ = 2235160065600. Its totient is φ = 396464985600.

The previous prime is 1010556006049. The next prime is 1010556006101. The reversal of 1010556006100 is 16006550101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010556006101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395020 + ... + 2785180.

It is an arithmetic number, because the mean of its divisors is an integer number (31043889800).

Almost surely, 2^{1010556006100} is an apocalyptic number.

1010556006100 is a gapful number since it is divisible by the number (10) 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 1010556006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117580032800).

1010556006100 is an abundant number, since it is smaller than the sum of its proper divisors (1224604059500).

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

1010556006100 is a wasteful number, since it uses less digits than its factorization.

1010556006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390673 (or 390666 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1010556006100 in words is "one trillion, ten billion, five hundred fifty-six million, six thousand, one hundred".