10200010202010 has 64 divisors (see below), whose sum is σ = 27544331404800. Its totient is φ = 2685572300736.

The previous prime is 10200010201999. The next prime is 10200010202071. The reversal of 10200010202010 is 1020201000201.

It is a super-2 number, since 2×10200010202010² (a number of 27 digits) contains 22 as substring.

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 = 10200010201983 and 10200010202001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239078769 + ... + 239121428.

It is an arithmetic number, because the mean of its divisors is an integer number (430380178200).

Almost surely, 2^{10200010202010} is an apocalyptic number.

10200010202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200010202010 is an abundant number, since it is smaller than the sum of its proper divisors (17344321202790).

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

10200010202010 is a wasteful number, since it uses less digits than its factorization.

10200010202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478200292 (or 478200286 counting only the distinct ones).

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

Adding to 10200010202010 its reverse (1020201000201), we get a palindrome (11220211202211).

The spelling of 10200010202010 in words is "ten trillion, two hundred billion, ten million, two hundred two thousand, ten".