1010100220001 has 16 divisors (see below), whose sum is σ = 1065148606800. Its totient is φ = 956417000448.

The previous prime is 1010100219979. The next prime is 1010100220007. The reversal of 1010100220001 is 1000220010101.

It can be written as a sum of positive squares in 8 ways, for example, as 6448893025 + 1003651326976 = 80305^2 + 1001824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100220001 - 2²⁶ = 1010033111137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010100220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130805 + ... + 3438333.

It is an arithmetic number, because the mean of its divisors is an integer number (66571787925).

Almost surely, 2^{1010100220001} is an apocalyptic number.

It is an amenable number.

1010100220001 is a deficient number, since it is larger than the sum of its proper divisors (55048386799).

1010100220001 is a wasteful number, since it uses less digits than its factorization.

1010100220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309748.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010100220001 its reverse (1000220010101), we get a palindrome (2010320230102).

The spelling of 1010100220001 in words is "one trillion, ten billion, one hundred million, two hundred twenty thousand, one".