1000210202101 has 16 divisors (see below), whose sum is σ = 1130441319360. Its totient is φ = 876622763520.

The previous prime is 1000210202081. The next prime is 1000210202111. The reversal of 1000210202101 is 1012020120001.

It is a cyclic number.

It is not a de Polignac number, because 1000210202101 - 2⁷ = 1000210201973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114775 + ... + 2544148.

It is an arithmetic number, because the mean of its divisors is an integer number (70652582460).

Almost surely, 2^{1000210202101} is an apocalyptic number.

1000210202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000210202101 is a deficient number, since it is larger than the sum of its proper divisors (130231117259).

1000210202101 is a wasteful number, since it uses less digits than its factorization.

1000210202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659636.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000210202101 its reverse (1012020120001), we get a palindrome (2012230322102).

The spelling of 1000210202101 in words is "one trillion, two hundred ten million, two hundred two thousand, one hundred one".