100402014020 has 48 divisors (see below), whose sum is σ = 262870731648. Its totient is φ = 31294133760.

The previous prime is 100402014017. The next prime is 100402014023. The reversal of 100402014020 is 20410204001.

100402014020 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 (100402014017) and next prime (100402014023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100402013986 and 100402014004.

It is not an unprimeable number, because it can be changed into a prime (100402014023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32596517 + ... + 32599596.

It is an arithmetic number, because the mean of its divisors is an integer number (5476473576).

Almost surely, 2^100402014020 is an apocalyptic number.

100402014020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100402014020 is an abundant number, since it is smaller than the sum of its proper divisors (162468717628).

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

100402014020 is a wasteful number, since it uses less digits than its factorization.

100402014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65196140 (or 65196138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100402014020 its reverse (20410204001), we get a palindrome (120812218021).

The spelling of 100402014020 in words is "one hundred billion, four hundred two million, fourteen thousand, twenty".