1020100200010 has 16 divisors (see below), whose sum is σ = 1836357120000. Its totient is φ = 408000800016.

The previous prime is 1020100200001. The next prime is 1020100200017. The reversal of 1020100200010 is 100020010201.

1020100200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1020100199966 and 1020100200002.

It is not an unprimeable number, because it can be changed into a prime (1020100200017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4800810 + ... + 5008789.

It is an arithmetic number, because the mean of its divisors is an integer number (114772320000).

Almost surely, 2^{1020100200010} is an apocalyptic number.

1020100200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020100200010 is a deficient number, since it is larger than the sum of its proper divisors (816256919990).

1020100200010 is a wasteful number, since it uses less digits than its factorization.

1020100200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820005.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020100200010 its reverse (100020010201), we get a palindrome (1120120210211).

The spelling of 1020100200010 in words is "one trillion, twenty billion, one hundred million, two hundred thousand, ten".