1010133102121 has 16 divisors (see below), whose sum is σ = 1238326750080. Its totient is φ = 810809176320.

The previous prime is 1010133102073. The next prime is 1010133102127. The reversal of 1010133102121 is 1212013310101.

It is a happy number.

It is not a de Polignac number, because 1010133102121 - 2²⁵ = 1010099547689 is a prime.

It is a super-2 number, since 2×1010133102121² (a number of 25 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 = 1010133102095 and 1010133102104.

It is not an unprimeable number, because it can be changed into a prime (1010133102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153559056 + ... + 153565633.

It is an arithmetic number, because the mean of its divisors is an integer number (77395421880).

Almost surely, 2^{1010133102121} is an apocalyptic number.

1010133102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010133102121 is a deficient number, since it is larger than the sum of its proper divisors (228193647959).

1010133102121 is a wasteful number, since it uses less digits than its factorization.

1010133102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307124736.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1010133102121 its reverse (1212013310101), we get a palindrome (2222146412222).

The spelling of 1010133102121 in words is "one trillion, ten billion, one hundred thirty-three million, one hundred two thousand, one hundred twenty-one".