101213054000 has 80 divisors (see below), whose sum is σ = 244908851616. Its totient is φ = 40456160000.

The previous prime is 101213053937. The next prime is 101213054057. The reversal of 101213054000 is 450312101.

101213054000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 101213054000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884562 + ... + 2919438.

Almost surely, 2^101213054000 is an apocalyptic number.

101213054000 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 101213054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122454425808).

101213054000 is an abundant number, since it is smaller than the sum of its proper divisors (143695797616).

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

101213054000 is a wasteful number, since it uses less digits than its factorization.

101213054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36351 (or 36335 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 101213054000 its reverse (450312101), we get a palindrome (101663366101).

The spelling of 101213054000 in words is "one hundred one billion, two hundred thirteen million, fifty-four thousand".