100856211456 has 1152 divisors, whose sum is σ = 389572485120. Its totient is φ = 22383820800.

The previous prime is 100856211439. The next prime is 100856211539. The reversal of 100856211456 is 654112658001.

100856211456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100856211456³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3253426161 + ... + 3253426191.

It is an arithmetic number, because the mean of its divisors is an integer number (338170560).

Almost surely, 2^100856211456 is an apocalyptic number.

100856211456 is a gapful number since it is divisible by the number (16) 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 100856211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194786242560).

100856211456 is an abundant number, since it is smaller than the sum of its proper divisors (288716273664).

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

100856211456 is a wasteful number, since it uses less digits than its factorization.

100856211456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

Adding to 100856211456 its reverse (654112658001), we get a palindrome (754968869457).

The spelling of 100856211456 in words is "one hundred billion, eight hundred fifty-six million, two hundred eleven thousand, four hundred fifty-six".