1012200212101 has 8 divisors (see below), whose sum is σ = 1101299518424. Its totient is φ = 924706298880.

The previous prime is 1012200212083. The next prime is 1012200212119. The reversal of 1012200212101 is 1012120022101.

It is an interprime number because it is at equal distance from previous prime (1012200212083) and next prime (1012200212119).

It can be written as a sum of positive squares in 4 ways, for example, as 263630902500 + 748569309601 = 513450^2 + 865199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1012200212101 - 2²⁹ = 1011663341189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012200212801) 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, 401346960 + ... + 401349481.

It is an arithmetic number, because the mean of its divisors is an integer number (137662439803).

Almost surely, 2^{1012200212101} is an apocalyptic number.

It is an amenable number.

1012200212101 is a deficient number, since it is larger than the sum of its proper divisors (89099306323).

1012200212101 is an equidigital number, since it uses as much as digits as its factorization.

1012200212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802696551.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012200212101 its reverse (1012120022101), we get a palindrome (2024320234202).

The spelling of 1012200212101 in words is "one trillion, twelve billion, two hundred million, two hundred twelve thousand, one hundred one".