102204004410020 has 96 divisors (see below), whose sum is σ = 221491975412736. Its totient is φ = 39584941401600.

The previous prime is 102204004409959. The next prime is 102204004410029. The reversal of 102204004410020 is 20014400402201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102204004409974 and 102204004410001.

It is not an unprimeable number, because it can be changed into a prime (102204004410029) 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, 2952746234 + ... + 2952780846.

It is an arithmetic number, because the mean of its divisors is an integer number (2307208077216).

Almost surely, 2^{102204004410020} is an apocalyptic number.

102204004410020 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 102204004410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110745987706368).

102204004410020 is an abundant number, since it is smaller than the sum of its proper divisors (119287971002716).

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

102204004410020 is a wasteful number, since it uses less digits than its factorization.

102204004410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53781 (or 53779 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102204004410020 its reverse (20014400402201), we get a palindrome (122218404812221).

The spelling of 102204004410020 in words is "one hundred two trillion, two hundred four billion, four million, four hundred ten thousand, twenty".