101210333312160 has 144 divisors (see below), whose sum is σ = 345401108927784. Its totient is φ = 26987793186816.

The previous prime is 101210333312159. The next prime is 101210333312227. The reversal of 101210333312160 is 61213333012101.

101210333312160 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 0 + 333 + 312 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88865538629904 + 12344794682256 = 9426852^2 + 3513516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21838704 + ... + 26064336.

Almost surely, 2^{101210333312160} is an apocalyptic number.

101210333312160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210333312160 is an abundant number, since it is smaller than the sum of its proper divisors (244190775615624).

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

101210333312160 is a wasteful number, since it uses less digits than its factorization.

101210333312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242287 (or 4242276 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101210333312160 its reverse (61213333012101), we get a palindrome (162423666324261).

The spelling of 101210333312160 in words is "one hundred one trillion, two hundred ten billion, three hundred thirty-three million, three hundred twelve thousand, one hundred sixty".