1010122212121 has 32 divisors (see below), whose sum is σ = 1136353453056. Its totient is φ = 890190720000.

The previous prime is 1010122212103. The next prime is 1010122212133. The reversal of 1010122212121 is 1212122210101.

It is a cyclic number.

It is not a de Polignac number, because 1010122212121 - 2⁵ = 1010122212089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010122212095 and 1010122212104.

It is not an unprimeable number, because it can be changed into a prime (1010122212721) 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, 11065656 + ... + 11156566.

It is an arithmetic number, because the mean of its divisors is an integer number (35511045408).

Almost surely, 2^{1010122212121} is an apocalyptic number.

1010122212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010122212121 is a deficient number, since it is larger than the sum of its proper divisors (126231240935).

1010122212121 is a wasteful number, since it uses less digits than its factorization.

1010122212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91233.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1010122212121 its reverse (1212122210101), we get a palindrome (2222244422222).

It can be divided in two parts, 10101 and 22212121, that added together give a palindrome (22222222).

The spelling of 1010122212121 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".