101120222000 has 240 divisors, whose sum is σ = 285204995712. Its totient is φ = 34575206400.

The previous prime is 101120221997. The next prime is 101120222023. The reversal of 101120222000 is 222021101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42432809 + ... + 42435191.

Almost surely, 2^101120222000 is an apocalyptic number.

101120222000 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 101120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142602497856).

101120222000 is an abundant number, since it is smaller than the sum of its proper divisors (184084773712).

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

101120222000 is a wasteful number, since it uses less digits than its factorization.

101120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101120222000 its reverse (222021101), we get a palindrome (101342243101).

The spelling of 101120222000 in words is "one hundred one billion, one hundred twenty million, two hundred twenty-two thousand".