100044211400 has 288 divisors, whose sum is σ = 279154900800. Its totient is φ = 33230937600.

The previous prime is 100044211361. The next prime is 100044211439. The reversal of 100044211400 is 4112440001.

It is an interprime number because it is at equal distance from previous prime (100044211361) and next prime (100044211439).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41050982 + ... + 41053418.

It is an arithmetic number, because the mean of its divisors is an integer number (969287850).

Almost surely, 2^100044211400 is an apocalyptic number.

100044211400 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 100044211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139577450400).

100044211400 is an abundant number, since it is smaller than the sum of its proper divisors (179110689400).

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

100044211400 is a wasteful number, since it uses less digits than its factorization.

100044211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100044211400 its reverse (4112440001), we get a palindrome (104156651401).

The spelling of 100044211400 in words is "one hundred billion, forty-four million, two hundred eleven thousand, four hundred".