100412004210 has 128 divisors (see below), whose sum is σ = 288544702464. Its totient is φ = 21879348480.

The previous prime is 100412004167. The next prime is 100412004233. The reversal of 100412004210 is 12400214001.

It is a super-3 number, since 3×100412004210³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100412004210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321064 + ... + 551276.

It is an arithmetic number, because the mean of its divisors is an integer number (2254255488).

Almost surely, 2^100412004210 is an apocalyptic number.

100412004210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100412004210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144272351232).

100412004210 is an abundant number, since it is smaller than the sum of its proper divisors (188132698254).

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

100412004210 is a wasteful number, since it uses less digits than its factorization.

100412004210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230328.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100412004210 its reverse (12400214001), we get a palindrome (112812218211).

The spelling of 100412004210 in words is "one hundred billion, four hundred twelve million, four thousand, two hundred ten".