103320021214410 has 1024 divisors, whose sum is σ = 372120492441600. Its totient is φ = 17620391116800.

The previous prime is 103320021214313. The next prime is 103320021214447. The reversal of 103320021214410 is 14412120023301.

It is a super-2 number, since 2×103320021214410² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3482173875 + ... + 3482203545.

It is an arithmetic number, because the mean of its divisors is an integer number (363398918400).

Almost surely, 2^{103320021214410} is an apocalyptic number.

103320021214410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103320021214410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186060246220800).

103320021214410 is an abundant number, since it is smaller than the sum of its proper divisors (268800471227190).

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

103320021214410 is a wasteful number, since it uses less digits than its factorization.

103320021214410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30107.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103320021214410 its reverse (14412120023301), we get a palindrome (117732141237711).

The spelling of 103320021214410 in words is "one hundred three trillion, three hundred twenty billion, twenty-one million, two hundred fourteen thousand, four hundred ten".