10200001022010 has 128 divisors (see below), whose sum is σ = 27547505084160. Its totient is φ = 2685437411328.

The previous prime is 10200001022009. The next prime is 10200001022041. The reversal of 10200001022010 is 1022010000201.

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 = 10200001021983 and 10200001022001.

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, 7190649 + ... + 8491491.

It is an arithmetic number, because the mean of its divisors is an integer number (215214883470).

Almost surely, 2^{10200001022010} is an apocalyptic number.

10200001022010 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 10200001022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773752542080).

10200001022010 is an abundant number, since it is smaller than the sum of its proper divisors (17347504062150).

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

10200001022010 is a wasteful number, since it uses less digits than its factorization.

10200001022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301229 (or 1301223 counting only the distinct ones).

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

Adding to 10200001022010 its reverse (1022010000201), we get a palindrome (11222011022211).

The spelling of 10200001022010 in words is "ten trillion, two hundred billion, one million, twenty-two thousand, ten".