10000101212101 has 48 divisors (see below), whose sum is σ = 13613163661440. Its totient is φ = 7094343605760.

The previous prime is 10000101212089. The next prime is 10000101212119. The reversal of 10000101212101 is 10121210100001.

It is a de Polignac number, because none of the positive numbers 2^k-10000101212101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101212401) 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, 4396995 + ... + 6271663.

It is an arithmetic number, because the mean of its divisors is an integer number (283607576280).

Almost surely, 2^{10000101212101} is an apocalyptic number.

10000101212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000101212101 is a deficient number, since it is larger than the sum of its proper divisors (3613062449339).

10000101212101 is a wasteful number, since it uses less digits than its factorization.

10000101212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874846 (or 1874773 counting only the distinct ones).

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

Adding to 10000101212101 its reverse (10121210100001), we get a palindrome (20121311312102).

It can be divided in two parts, 10000 and 101212101, that added together give a palindrome (101222101).

The spelling of 10000101212101 in words is "ten trillion, one hundred one million, two hundred twelve thousand, one hundred one".