103020212200290 has 768 divisors, whose sum is σ = 335579017568256. Its totient is φ = 19944581529600.

The previous prime is 103020212200277. The next prime is 103020212200291. The reversal of 103020212200290 is 92002212020301.

It is a super-2 number, since 2×103020212200290² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103020212200290.

It is not an unprimeable number, because it can be changed into a prime (103020212200291) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15592582167 + ... + 15592588773.

It is an arithmetic number, because the mean of its divisors is an integer number (436951845792).

Almost surely, 2^{103020212200290} is an apocalyptic number.

103020212200290 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 103020212200290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167789508784128).

103020212200290 is an abundant number, since it is smaller than the sum of its proper divisors (232558805367966).

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

103020212200290 is a wasteful number, since it uses less digits than its factorization.

103020212200290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103020212200290 its reverse (92002212020301), we get a palindrome (195022424220591).

The spelling of 103020212200290 in words is "one hundred three trillion, twenty billion, two hundred twelve million, two hundred thousand, two hundred ninety".