12100102010101 has 48 divisors (see below), whose sum is σ = 14197461773040. Its totient is φ = 10282158351360.

The previous prime is 12100102010063. The next prime is 12100102010119. The reversal of 12100102010101 is 10101020100121.

It can be written as a sum of positive squares in 8 ways, for example, as 191908829476 + 11908193180625 = 438074^2 + 3450825^2 .

It is not a de Polignac number, because 12100102010101 - 2³⁷ = 11962663056629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100102010131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6071299561 + ... + 6071301553.

It is an arithmetic number, because the mean of its divisors is an integer number (295780453605).

Almost surely, 2^{12100102010101} is an apocalyptic number.

It is an amenable number.

12100102010101 is a deficient number, since it is larger than the sum of its proper divisors (2097359762939).

12100102010101 is a wasteful number, since it uses less digits than its factorization.

12100102010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12100102010101 its reverse (10101020100121), we get a palindrome (22201122110222).

The spelling of 12100102010101 in words is "twelve trillion, one hundred billion, one hundred two million, ten thousand, one hundred one".