10100424344340 has 192 divisors, whose sum is σ = 31964973465600. Its totient is φ = 2360855808000.

The previous prime is 10100424344273. The next prime is 10100424344369. The reversal of 10100424344340 is 4344342400101.

It is a super-2 number, since 2×10100424344340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10100424344298 and 10100424344307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4633836 + ... + 6455484.

It is an arithmetic number, because the mean of its divisors is an integer number (166484236800).

Almost surely, 2^{10100424344340} is an apocalyptic number.

10100424344340 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 10100424344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982486732800).

10100424344340 is an abundant number, since it is smaller than the sum of its proper divisors (21864549121260).

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

10100424344340 is a wasteful number, since it uses less digits than its factorization.

10100424344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821974 (or 1821972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10100424344340 its reverse (4344342400101), we get a palindrome (14444766744441).

The spelling of 10100424344340 in words is "ten trillion, one hundred billion, four hundred twenty-four million, three hundred forty-four thousand, three hundred forty".