101212101012121 has 32 divisors (see below), whose sum is σ = 118195221275136. Its totient is φ = 85647045120000.

The previous prime is 101212101012109. The next prime is 101212101012173. The reversal of 101212101012121 is 121210101212101.

101212101012121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 101212101012121 - 2⁵ = 101212101012089 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101212101012095 and 101212101012104.

It is not an unprimeable number, because it can be changed into a prime (101212101012181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14264881 + ... + 20147233.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600664848).

Almost surely, 2^{101212101012121} is an apocalyptic number.

101212101012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212101012121 is a deficient number, since it is larger than the sum of its proper divisors (16983120263015).

101212101012121 is a wasteful number, since it uses less digits than its factorization.

101212101012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883393.

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

Adding to 101212101012121 its reverse (121210101212101), we get a palindrome (222422202224222).

The spelling of 101212101012121 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, twelve thousand, one hundred twenty-one".