10101212121 has 64 divisors (see below), whose sum is σ = 18572230656. Its totient is φ = 4712774400.

The previous prime is 10101212029. The next prime is 10101212131. The reversal of 10101212121 is 12121210101.

10101212121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 10101212121 - 2¹¹ = 10101210073 is a prime.

It is an alternating number because its digits alternate between odd and even.

10101212121 is a modest number, since divided by 212121 gives 10101 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10101212097 and 10101212106.

It is not an unprimeable number, because it can be changed into a prime (10101212131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65656 + ... + 156566.

It is an arithmetic number, because the mean of its divisors is an integer number (290191104).

Almost surely, 2^10101212121 is an apocalyptic number.

10101212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101212121 is a deficient number, since it is larger than the sum of its proper divisors (8471018535).

10101212121 is a wasteful number, since it uses less digits than its factorization.

10101212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90982.

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

Adding to 10101212121 its reverse (12121210101), we get a palindrome (22222422222).

It can be divided in two parts, 10101 and 212121, that added together give a palindrome (222222).

The spelling of 10101212121 in words is "ten billion, one hundred one million, two hundred twelve thousand, one hundred twenty-one".