100212472080 has 320 divisors, whose sum is σ = 401933560320. Its totient is φ = 22473345024.

The previous prime is 100212472057. The next prime is 100212472081. The reversal of 100212472080 is 80274212001.

100212472080 is a `hidden beast` number, since 100 + 2 + 12 + 472 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100212472081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738834 + ... + 863886.

It is an arithmetic number, because the mean of its divisors is an integer number (1256042376).

Almost surely, 2^100212472080 is an apocalyptic number.

100212472080 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 100212472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200966780160).

100212472080 is an abundant number, since it is smaller than the sum of its proper divisors (301721088240).

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

100212472080 is a wasteful number, since it uses less digits than its factorization.

100212472080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125135 (or 125123 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 100212472080 its reverse (80274212001), we get a palindrome (180486684081).

The spelling of 100212472080 in words is "one hundred billion, two hundred twelve million, four hundred seventy-two thousand, eighty".