1010022103200 has 288 divisors, whose sum is σ = 3597840348480. Its totient is φ = 244079411200.

The previous prime is 1010022103199. The next prime is 1010022103231. The reversal of 1010022103200 is 23012200101.

It is a super-5 number, since 5×1010022103200⁵ (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8308456 + ... + 8429144.

It is an arithmetic number, because the mean of its divisors is an integer number (12492501210).

Almost surely, 2^{1010022103200} is an apocalyptic number.

1010022103200 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 1010022103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798920174240).

1010022103200 is an abundant number, since it is smaller than the sum of its proper divisors (2587818245280).

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

1010022103200 is a wasteful number, since it uses less digits than its factorization.

1010022103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121040 (or 121027 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1010022103200 its reverse (23012200101), we get a palindrome (1033034303301).

The spelling of 1010022103200 in words is "one trillion, ten billion, twenty-two million, one hundred three thousand, two hundred".