101223202200000 has 672 divisors, whose sum is σ = 338688656038656. Its totient is φ = 26677248000000.

The previous prime is 101223202199993. The next prime is 101223202200013. The reversal of 101223202200000 is 2202322101.

It is a happy number.

It is a super-2 number, since 2×101223202200000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20200197495 + ... + 20200202505.

It is an arithmetic number, because the mean of its divisors is an integer number (504000976248).

Almost surely, 2^{101223202200000} is an apocalyptic number.

101223202200000 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 101223202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344328019328).

101223202200000 is an abundant number, since it is smaller than the sum of its proper divisors (237465453838656).

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

101223202200000 is an equidigital number, since it uses as much as digits as its factorization.

101223202200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101223202200000 its reverse (2202322101), we get a palindrome (101225404522101).

The spelling of 101223202200000 in words is "one hundred one trillion, two hundred twenty-three billion, two hundred two million, two hundred thousand".