100021111002144 has 144 divisors (see below), whose sum is σ = 309898166205600. Its totient is φ = 31379172000768.

The previous prime is 100021111002143. The next prime is 100021111002149. The reversal of 100021111002144 is 441200111120001.

100021111002144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100021111002144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100021111002143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200036074 + ... + 200535465.

It is an arithmetic number, because the mean of its divisors is an integer number (2152070598650).

Almost surely, 2^{100021111002144} is an apocalyptic number.

It is an amenable number.

100021111002144 is an abundant number, since it is smaller than the sum of its proper divisors (209877055203456).

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

100021111002144 is a wasteful number, since it uses less digits than its factorization.

100021111002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400571592 (or 400571561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100021111002144 its reverse (441200111120001), we get a palindrome (541221222122145).

The spelling of 100021111002144 in words is "one hundred trillion, twenty-one billion, one hundred eleven million, two thousand, one hundred forty-four".