10021200002010 has 128 divisors (see below), whose sum is σ = 26950383820800. Its totient is φ = 2649627832320.

The previous prime is 10021200001957. The next prime is 10021200002059. The reversal of 10021200002010 is 1020000212001.

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 = 10021200001983 and 10021200002001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55493946 + ... + 55674234.

It is an arithmetic number, because the mean of its divisors is an integer number (210549873600).

Almost surely, 2^{10021200002010} is an apocalyptic number.

10021200002010 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 10021200002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475191910400).

10021200002010 is an abundant number, since it is smaller than the sum of its proper divisors (16929183818790).

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

10021200002010 is a wasteful number, since it uses less digits than its factorization.

10021200002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182053 (or 182047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021200002010 its reverse (1020000212001), we get a palindrome (11041200214011).

The spelling of 10021200002010 in words is "ten trillion, twenty-one billion, two hundred million, two thousand, ten".