101410003420 has 96 divisors (see below), whose sum is σ = 235022860800. Its totient is φ = 36448892160.

The previous prime is 101410003351. The next prime is 101410003433. The reversal of 101410003420 is 24300014101.

It is a junction number, because it is equal to n+sod(n) for n = 101410003394 and 101410003403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12753606 + ... + 12761554.

It is an arithmetic number, because the mean of its divisors is an integer number (2448154800).

Almost surely, 2^101410003420 is an apocalyptic number.

101410003420 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 101410003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117511430400).

101410003420 is an abundant number, since it is smaller than the sum of its proper divisors (133612857380).

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

101410003420 is a wasteful number, since it uses less digits than its factorization.

101410003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8635 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101410003420 its reverse (24300014101), we get a palindrome (125710017521).

The spelling of 101410003420 in words is "one hundred one billion, four hundred ten million, three thousand, four hundred twenty".