101334004222000 has 320 divisors, whose sum is σ = 268814258893440. Its totient is φ = 36640260096000.

The previous prime is 101334004221979. The next prime is 101334004222019. The reversal of 101334004222000 is 222400433101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11689233666 + ... + 11689242334.

It is an arithmetic number, because the mean of its divisors is an integer number (840044559042).

Almost surely, 2^{101334004222000} is an apocalyptic number.

101334004222000 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 101334004222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134407129446720).

101334004222000 is an abundant number, since it is smaller than the sum of its proper divisors (167480254671440).

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

101334004222000 is a wasteful number, since it uses less digits than its factorization.

101334004222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 101334004222000 its reverse (222400433101), we get a palindrome (101556404655101).

The spelling of 101334004222000 in words is "one hundred one trillion, three hundred thirty-four billion, four million, two hundred twenty-two thousand".