1010123103210 has 128 divisors (see below), whose sum is σ = 2643934003200. Its totient is φ = 245492004096.

The previous prime is 1010123103191. The next prime is 1010123103229. The reversal of 1010123103210 is 123013210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010123103191) and next prime (1010123103229).

It is a super-3 number, since 3×1010123103210³ (a number of 37 digits) contains 333 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 1010123103210.

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, 54987447 + ... + 55005813.

It is an arithmetic number, because the mean of its divisors is an integer number (20655734400).

Almost surely, 2^{1010123103210} is an apocalyptic number.

1010123103210 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 1010123103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321967001600).

1010123103210 is an abundant number, since it is smaller than the sum of its proper divisors (1633810899990).

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

1010123103210 is a wasteful number, since it uses less digits than its factorization.

1010123103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20172.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010123103210 its reverse (123013210101), we get a palindrome (1133136313311).

The spelling of 1010123103210 in words is "one trillion, ten billion, one hundred twenty-three million, one hundred three thousand, two hundred ten".