103101052212000 has 288 divisors, whose sum is σ = 381814577988480. Its totient is φ = 26298239193600.

The previous prime is 103101052211957. The next prime is 103101052212073. The reversal of 103101052212000 is 212250101301.

103101052212000 is a `hidden beast` number, since 1 + 0 + 3 + 10 + 10 + 522 + 120 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61431090 + ... + 63087089.

It is an arithmetic number, because the mean of its divisors is an integer number (1325745062460).

Almost surely, 2^{103101052212000} is an apocalyptic number.

103101052212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101052212000 is an abundant number, since it is smaller than the sum of its proper divisors (278713525776480).

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

103101052212000 is a wasteful number, since it uses less digits than its factorization.

103101052212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124518233 (or 124518212 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 103101052212000 in words is "one hundred three trillion, one hundred one billion, fifty-two million, two hundred twelve thousand".