101230122213000 has 384 divisors, whose sum is σ = 383351273735040. Its totient is φ = 23877374400000.

The previous prime is 101230122212983. The next prime is 101230122213023. The reversal of 101230122213000 is 312221032101.

101230122213000 is a `hidden beast` number, since 1 + 0 + 12 + 301 + 222 + 130 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 10154926 + ... + 17480925.

It is an arithmetic number, because the mean of its divisors is an integer number (998310608685).

Almost surely, 2^{101230122213000} is an apocalyptic number.

101230122213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101230122213000 is an abundant number, since it is smaller than the sum of its proper divisors (282121151522040).

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

101230122213000 is a wasteful number, since it uses less digits than its factorization.

101230122213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27635926 (or 27635909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101230122213000 its reverse (312221032101), we get a palindrome (101542343245101).

The spelling of 101230122213000 in words is "one hundred one trillion, two hundred thirty billion, one hundred twenty-two million, two hundred thirteen thousand".