1010212133121 has 6 divisors (see below), whose sum is σ = 1459195303410. Its totient is φ = 673474755408.

The previous prime is 1010212133093. The next prime is 1010212133149. The reversal of 1010212133121 is 1213312120101.

1010212133121 is a `hidden beast` number, since 101 + 0 + 212 + 1 + 331 + 21 = 666.

1010212133121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010212133093) and next prime (1010212133149).

It can be written as a sum of positive squares in only one way, i.e., 897356449521 + 112855683600 = 947289^2 + 335940^2 .

It is not a de Polignac number, because 1010212133121 - 2¹¹ = 1010212131073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010212133094 and 1010212133103.

It is not an unprimeable number, because it can be changed into a prime (1010212133171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56122896276 + ... + 56122896293.

It is an arithmetic number, because the mean of its divisors is an integer number (243199217235).

Almost surely, 2^{1010212133121} is an apocalyptic number.

It is an amenable number.

1010212133121 is a deficient number, since it is larger than the sum of its proper divisors (448983170289).

1010212133121 is a wasteful number, since it uses less digits than its factorization.

1010212133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112245792575 (or 112245792572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1010212133121 its reverse (1213312120101), we get a palindrome (2223524253222).

The spelling of 1010212133121 in words is "one trillion, ten billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twenty-one".