10002011010210 has 160 divisors (see below), whose sum is σ = 27720198722304. Its totient is φ = 2586526992000.

The previous prime is 10002011010197. The next prime is 10002011010217. The reversal of 10002011010210 is 1201011020001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002011010192 and 10002011010201.

It is not an unprimeable number, because it can be changed into a prime (10002011010217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2082555 + ... + 4933665.

Almost surely, 2^{10002011010210} is an apocalyptic number.

10002011010210 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 10002011010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860099361152).

10002011010210 is an abundant number, since it is smaller than the sum of its proper divisors (17718187712094).

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

10002011010210 is a wasteful number, since it uses less digits than its factorization.

10002011010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851262 (or 2851253 counting only the distinct ones).

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

Adding to 10002011010210 its reverse (1201011020001), we get a palindrome (11203022030211).

The spelling of 10002011010210 in words is "ten trillion, two billion, eleven million, ten thousand, two hundred ten".