103542101244120 has 512 divisors, whose sum is σ = 411456481228800. Its totient is φ = 20211893452800.

The previous prime is 103542101244119. The next prime is 103542101244121. The reversal of 103542101244120 is 21442101245301.

It is an interprime number because it is at equal distance from previous prime (103542101244119) and next prime (103542101244121).

It is a super-3 number, since 3×103542101244120³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103542101244121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4692780 + ... + 15136260.

It is an arithmetic number, because the mean of its divisors is an integer number (803625939900).

Almost surely, 2^{103542101244120} is an apocalyptic number.

103542101244120 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 103542101244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205728240614400).

103542101244120 is an abundant number, since it is smaller than the sum of its proper divisors (307914379984680).

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

103542101244120 is a wasteful number, since it uses less digits than its factorization.

103542101244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443579 (or 10443575 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 103542101244120 its reverse (21442101245301), we get a palindrome (124984202489421).

The spelling of 103542101244120 in words is "one hundred three trillion, five hundred forty-two billion, one hundred one million, two hundred forty-four thousand, one hundred twenty".