101012010000210 has 96 divisors (see below), whose sum is σ = 269790834074112. Its totient is φ = 26202549029760.

The previous prime is 101012010000169. The next prime is 101012010000287. The reversal of 101012010000210 is 12000010210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101012010000192 and 101012010000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11167927 + ... + 18076133.

It is an arithmetic number, because the mean of its divisors is an integer number (2810321188272).

Almost surely, 2^{101012010000210} is an apocalyptic number.

101012010000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012010000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134895417037056).

101012010000210 is an abundant number, since it is smaller than the sum of its proper divisors (168778824073902).

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

101012010000210 is a wasteful number, since it uses less digits than its factorization.

101012010000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912648 (or 6912645 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012010000210 its reverse (12000010210101), we get a palindrome (113012020210311).

The spelling of 101012010000210 in words is "one hundred one trillion, twelve billion, ten million, two hundred ten", and thus it is an aban number.