100420131000030 has 64 divisors (see below), whose sum is σ = 243438396392448. Its totient is φ = 26509951278720.

The previous prime is 100420131000029. The next prime is 100420131000031. The reversal of 100420131000030 is 30000131024001.

100420131000030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100420131000029) and next prime (100420131000031).

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

It is a junction number, because it is equal to n+sod(n) for n = 100420130999973 and 100420131000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420131000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38060532 + ... + 40613351.

It is an arithmetic number, because the mean of its divisors is an integer number (3803724943632).

Almost surely, 2^{100420131000030} is an apocalyptic number.

100420131000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100420131000030 is an abundant number, since it is smaller than the sum of its proper divisors (143018265392418).

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

100420131000030 is a wasteful number, since it uses less digits than its factorization.

100420131000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78674321.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100420131000030 its reverse (30000131024001), we get a palindrome (130420262024031).

The spelling of 100420131000030 in words is "one hundred trillion, four hundred twenty billion, one hundred thirty-one million, thirty", and thus it is an aban number.