101233003212000 has 288 divisors, whose sum is σ = 391937377968864. Its totient is φ = 24541334016000.

The previous prime is 101233003211933. The next prime is 101233003212001. The reversal of 101233003212000 is 212300332101.

101233003212000 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 300 + 321 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101233003212001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127423449 + ... + 128215448.

It is an arithmetic number, because the mean of its divisors is an integer number (1360893673503).

Almost surely, 2^{101233003212000} is an apocalyptic number.

101233003212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233003212000 is an abundant number, since it is smaller than the sum of its proper divisors (290704374756864).

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

101233003212000 is a wasteful number, since it uses less digits than its factorization.

101233003212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255638939 (or 255638918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101233003212000 its reverse (212300332101), we get a palindrome (101445303544101).

The spelling of 101233003212000 in words is "one hundred one trillion, two hundred thirty-three billion, three million, two hundred twelve thousand".