101001112000210 has 8 divisors (see below), whose sum is σ = 181802001600396. Its totient is φ = 40400444800080.

The previous prime is 101001112000207. The next prime is 101001112000231. The reversal of 101001112000210 is 12000211100101.

It can be written as a sum of positive squares in 2 ways, for example, as 92967951876121 + 8033160124089 = 9641989^2 + 2834283^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10100111200021 = 101001112000210 / (1 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 2 + 0 + 0 + 0 + 2 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050055600001 + ... + 5050055600020.

Almost surely, 2^{101001112000210} is an apocalyptic number.

101001112000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001112000210 is a deficient number, since it is larger than the sum of its proper divisors (80800889600186).

101001112000210 is a wasteful number, since it uses less digits than its factorization.

101001112000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100111200028.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101001112000210 its reverse (12000211100101), we get a palindrome (113001323100311).

It can be divided in two parts, 101001 and 112000210, that added together give a palindrome (112101211).

The spelling of 101001112000210 in words is "one hundred one trillion, one billion, one hundred twelve million, two hundred ten", and thus it is an aban number.