10100556071144 has 64 divisors (see below), whose sum is σ = 24425885750400. Its totient is φ = 3799582214400.

The previous prime is 10100556071143. The next prime is 10100556071153. The reversal of 10100556071144 is 44117065500101.

It is not an unprimeable number, because it can be changed into a prime (10100556071143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282689147 + ... + 282724874.

It is an arithmetic number, because the mean of its divisors is an integer number (381654464850).

Almost surely, 2^{10100556071144} is an apocalyptic number.

10100556071144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10100556071144 is an abundant number, since it is smaller than the sum of its proper divisors (14325329679256).

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

10100556071144 is a wasteful number, since it uses less digits than its factorization.

10100556071144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565414074 (or 565414070 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 10100556071144 in words is "ten trillion, one hundred billion, five hundred fifty-six million, seventy-one thousand, one hundred forty-four".