10100004420 has 192 divisors, whose sum is σ = 32717260800. Its totient is φ = 2302295040.

The previous prime is 10100004391. The next prime is 10100004449. The reversal of 10100004420 is 2440000101.

It is an interprime number because it is at equal distance from previous prime (10100004391) and next prime (10100004449).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100004396 and 10100004405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715041 + ... + 1720919.

It is an arithmetic number, because the mean of its divisors is an integer number (170402400).

Almost surely, 2^10100004420 is an apocalyptic number.

10100004420 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 10100004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358630400).

10100004420 is an abundant number, since it is smaller than the sum of its proper divisors (22617256380).

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

10100004420 is a wasteful number, since it uses less digits than its factorization.

10100004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10100004420 its reverse (2440000101), we get a palindrome (12540004521).

The spelling of 10100004420 in words is "ten billion, one hundred million, four thousand, four hundred twenty".