101123334144000 has 3808 divisors, whose sum is σ = 450548866010880. Its totient is φ = 22167945216000.

The previous prime is 101123334143969. The next prime is 101123334144071. The reversal of 101123334144000 is 441433321101.

101123334144000 is a `hidden beast` number, since 1 + 0 + 11 + 233 + 3 + 4 + 14 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1713954815971 + ... + 1713954816029.

Almost surely, 2^{101123334144000} is an apocalyptic number.

101123334144000 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 101123334144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225274433005440).

101123334144000 is an abundant number, since it is smaller than the sum of its proper divisors (349425531866880).

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

101123334144000 is an frugal number, since it uses more digits than its factorization.

101123334144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101123334144000 its reverse (441433321101), we get a palindrome (101564767465101).

The spelling of 101123334144000 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred thirty-four million, one hundred forty-four thousand".