10101012222121 has 8 divisors (see below), whose sum is σ = 10156764691080. Its totient is φ = 10045394585088.

The previous prime is 10101012222107. The next prime is 10101012222131. The reversal of 10101012222121 is 12122221010101.

It can be written as a sum of positive squares in 4 ways, for example, as 98094240000 + 10002917982121 = 313200^2 + 3162739^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101012222121 is a prime.

It is a super-2 number, since 2×10101012222121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101012222095 and 10101012222104.

It is not an unprimeable number, because it can be changed into a prime (10101012222131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33557736 + ... + 33857401.

It is an arithmetic number, because the mean of its divisors is an integer number (1269595586385).

Almost surely, 2^{10101012222121} is an apocalyptic number.

It is an amenable number.

10101012222121 is a deficient number, since it is larger than the sum of its proper divisors (55752468959).

10101012222121 is an equidigital number, since it uses as much as digits as its factorization.

10101012222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67415963.

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

Adding to 10101012222121 its reverse (12122221010101), we get a palindrome (22223233232222).

The spelling of 10101012222121 in words is "ten trillion, one hundred one billion, twelve million, two hundred twenty-two thousand, one hundred twenty-one".