100103022020310 has 128 divisors (see below), whose sum is σ = 248389300915200. Its totient is φ = 25799426173440.

The previous prime is 100103022020303. The next prime is 100103022020377. The reversal of 100103022020310 is 13020220301001.

It is a super-2 number, since 2×100103022020310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100103022020310.

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, 182322000 + ... + 182870220.

It is an arithmetic number, because the mean of its divisors is an integer number (1940541413400).

Almost surely, 2^{100103022020310} is an apocalyptic number.

100103022020310 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 100103022020310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124194650457600).

100103022020310 is an abundant number, since it is smaller than the sum of its proper divisors (148286278894890).

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

100103022020310 is a wasteful number, since it uses less digits than its factorization.

100103022020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549366.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100103022020310 its reverse (13020220301001), we get a palindrome (113123242321311).

The spelling of 100103022020310 in words is "one hundred trillion, one hundred three billion, twenty-two million, twenty thousand, three hundred ten".