1020000100201 has 16 divisors (see below), whose sum is σ = 1032298524928. Its totient is φ = 1007785152000.

The previous prime is 1020000100199. The next prime is 1020000100211. The reversal of 1020000100201 is 1020010000201.

It is a cyclic number.

It is not a de Polignac number, because 1020000100201 - 2¹ = 1020000100199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020000100211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29932765 + ... + 29966821.

It is an arithmetic number, because the mean of its divisors is an integer number (64518657808).

Almost surely, 2^{1020000100201} is an apocalyptic number.

It is an amenable number.

1020000100201 is a deficient number, since it is larger than the sum of its proper divisors (12298424727).

1020000100201 is a wasteful number, since it uses less digits than its factorization.

1020000100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35272.

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

Adding to 1020000100201 its reverse (1020010000201), we get a palindrome (2040010100402).

The spelling of 1020000100201 in words is "one trillion, twenty billion, one hundred thousand, two hundred one".