1012100212101 has 16 divisors (see below), whose sum is σ = 1499922100800. Its totient is φ = 601820593920.

The previous prime is 1012100212073. The next prime is 1012100212129. The reversal of 1012100212101 is 1012120012101.

It is an interprime number because it is at equal distance from previous prime (1012100212073) and next prime (1012100212129).

It is not a de Polignac number, because 1012100212101 - 2⁶ = 1012100212037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100214101) 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, 289335076 + ... + 289338573.

It is an arithmetic number, because the mean of its divisors is an integer number (93745131300).

Almost surely, 2^{1012100212101} is an apocalyptic number.

1012100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012100212101 is a deficient number, since it is larger than the sum of its proper divisors (487821888699).

1012100212101 is a wasteful number, since it uses less digits than its factorization.

1012100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578673716.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012100212101 its reverse (1012120012101), we get a palindrome (2024220224202).

The spelling of 1012100212101 in words is "one trillion, twelve billion, one hundred million, two hundred twelve thousand, one hundred one".