101222010112000 has 192 divisors, whose sum is σ = 253304229250800. Its totient is φ = 40374068838400.

The previous prime is 101222010111979. The next prime is 101222010112001. The reversal of 101222010112000 is 211010222101.

It can be written as a sum of positive squares in 8 ways, for example, as 6818866799616 + 94403143312384 = 2611296^2 + 9716128^2 .

It is a super-2 number, since 2×101222010112000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101222010112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89807946 + ... + 90928054.

Almost surely, 2^{101222010112000} is an apocalyptic number.

101222010112000 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 101222010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126652114625400).

101222010112000 is an abundant number, since it is smaller than the sum of its proper divisors (152082219138800).

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

101222010112000 is an equidigital number, since it uses as much as digits as its factorization.

101222010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120499 (or 1120469 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101222010112000 its reverse (211010222101), we get a palindrome (101433020334101).

The spelling of 101222010112000 in words is "one hundred one trillion, two hundred twenty-two billion, ten million, one hundred twelve thousand".