1820100100101 has 12 divisors (see below), whose sum is σ = 2468629509312. Its totient is φ = 1192833957064.

The previous prime is 1820100100081. The next prime is 1820100100121. The reversal of 1820100100101 is 1010010010281.

It is an interprime number because it is at equal distance from previous prime (1820100100081) and next prime (1820100100121).

It is not a de Polignac number, because 1820100100101 - 2¹⁴ = 1820100083717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820100100121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87134061 + ... + 87154946.

It is an arithmetic number, because the mean of its divisors is an integer number (205719125776).

Almost surely, 2^{1820100100101} is an apocalyptic number.

It is an amenable number.

1820100100101 is a deficient number, since it is larger than the sum of its proper divisors (648529409211).

1820100100101 is an equidigital number, since it uses as much as digits as its factorization.

1820100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174289128 (or 174289069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1820100100101 its reverse (1010010010281), we get a palindrome (2830110110382).

The spelling of 1820100100101 in words is "one trillion, eight hundred twenty billion, one hundred million, one hundred thousand, one hundred one".