101213441154000 has 960 divisors, whose sum is σ = 424649782103040. Its totient is φ = 21967043788800.

The previous prime is 101213441153953. The next prime is 101213441154037. The reversal of 101213441154000 is 451144312101.

It is a happy number.

101213441154000 is a `hidden beast` number, since 1 + 0 + 1 + 213 + 4 + 41 + 1 + 5 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396898536 + ... + 397153464.

It is an arithmetic number, because the mean of its divisors is an integer number (442343523024).

Almost surely, 2^{101213441154000} is an apocalyptic number.

101213441154000 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 101213441154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212324891051520).

101213441154000 is an abundant number, since it is smaller than the sum of its proper divisors (323436340949040).

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

101213441154000 is a wasteful number, since it uses less digits than its factorization.

101213441154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255125 (or 255106 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101213441154000 its reverse (451144312101), we get a palindrome (101664585466101).

It can be divided in two parts, 101213441 and 154000, that added together give a triangular number (101367441 = T₁₄₂₃₈).

The spelling of 101213441154000 in words is "one hundred one trillion, two hundred thirteen billion, four hundred forty-one million, one hundred fifty-four thousand".