101102120200101 has 16 divisors (see below), whose sum is σ = 136510591688960. Its totient is φ = 66547548587520.

The previous prime is 101102120200091. The next prime is 101102120200177. The reversal of 101102120200101 is 101002021201101.

It is not a de Polignac number, because 101102120200101 - 2¹⁴ = 101102120183717 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 (101102120200001) 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, 21513561 + ... + 25788321.

It is an arithmetic number, because the mean of its divisors is an integer number (8531911980560).

Almost surely, 2^{101102120200101} is an apocalyptic number.

It is an amenable number.

101102120200101 is a deficient number, since it is larger than the sum of its proper divisors (35408471488859).

101102120200101 is an equidigital number, since it uses as much as digits as its factorization.

101102120200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374636.

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

Adding to 101102120200101 its reverse (101002021201101), we get a palindrome (202104141401202).

The spelling of 101102120200101 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, two hundred thousand, one hundred one".