10121211212101 has 16 divisors (see below), whose sum is σ = 11169638036928. Its totient is φ = 9094480912000.

The previous prime is 10121211212093. The next prime is 10121211212113.

10121211212101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10121211212101 - 2³ = 10121211212093 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 (10121211252101) 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, 7107640 + ... + 8411953.

It is an arithmetic number, because the mean of its divisors is an integer number (698102377308).

Almost surely, 2^{10121211212101} is an apocalyptic number.

10121211212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121211212101 is a deficient number, since it is larger than the sum of its proper divisors (1048426824827).

10121211212101 is a wasteful number, since it uses less digits than its factorization.

10121211212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15520292.

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

It can be divided in two parts, 1012121 and 1212101, that added together give a palindrome (2224222).

The spelling of 10121211212101 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, one hundred one".