101030400000420 has 96 divisors (see below), whose sum is σ = 308642618059776. Its totient is φ = 24488990486400.

The previous prime is 101030400000401. The next prime is 101030400000557. The reversal of 101030400000420 is 24000004030101.

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 101030400000420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5072694 + ... + 15092813.

It is an arithmetic number, because the mean of its divisors is an integer number (3215027271456).

Almost surely, 2^{101030400000420} is an apocalyptic number.

101030400000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101030400000420 is an abundant number, since it is smaller than the sum of its proper divisors (207612218059356).

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

101030400000420 is a wasteful number, since it uses less digits than its factorization.

101030400000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173121 (or 20173119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101030400000420 its reverse (24000004030101), we get a palindrome (125030404030521).

The spelling of 101030400000420 in words is "one hundred one trillion, thirty billion, four hundred million, four hundred twenty", and thus it is an aban number.