101210141310210 has 80 divisors (see below), whose sum is σ = 288151225887096. Its totient is φ = 25401760952832.

The previous prime is 101210141310107. The next prime is 101210141310253. The reversal of 101210141310210 is 12013141012101.

101210141310210 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 0 + 141 + 310 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79926764791329 + 21283376518881 = 8940177^2 + 4613391^2 .

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3675009517 + ... + 3675037056.

Almost surely, 2^{101210141310210} is an apocalyptic number.

101210141310210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101210141310210 is an abundant number, since it is smaller than the sum of its proper divisors (186941084576886).

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

101210141310210 is a wasteful number, since it uses less digits than its factorization.

101210141310210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350046609 (or 7350046600 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101210141310210 its reverse (12013141012101), we get a palindrome (113223282322311).

The spelling of 101210141310210 in words is "one hundred one trillion, two hundred ten billion, one hundred forty-one million, three hundred ten thousand, two hundred ten".