1010121222121 has 16 divisors (see below), whose sum is σ = 1105102958400. Its totient is φ = 915665990400.

The previous prime is 1010121222113. The next prime is 1010121222151. The reversal of 1010121222121 is 1212221210101.

It is a cyclic number.

It is not a de Polignac number, because 1010121222121 - 2³ = 1010121222113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010121222095 and 1010121222104.

It is not an unprimeable number, because it can be changed into a prime (1010121222151) 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, 20691381 + ... + 20740141.

It is an arithmetic number, because the mean of its divisors is an integer number (69068934900).

Almost surely, 2^{1010121222121} is an apocalyptic number.

1010121222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010121222121 is a deficient number, since it is larger than the sum of its proper divisors (94981736279).

1010121222121 is a wasteful number, since it uses less digits than its factorization.

1010121222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54120.

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

Adding to 1010121222121 its reverse (1212221210101), we get a palindrome (2222342432222).

The spelling of 1010121222121 in words is "one trillion, ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-one".