1010133102120 has 64 divisors (see below), whose sum is σ = 3043749165120. Its totient is φ = 268182173184.

The previous prime is 1010133102073. The next prime is 1010133102127. The reversal of 1010133102120 is 212013310101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010133102120.

It is not an unprimeable number, because it can be changed into a prime (1010133102127) 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, 18514117 + ... + 18568596.

It is an arithmetic number, because the mean of its divisors is an integer number (47558580705).

Almost surely, 2^{1010133102120} is an apocalyptic number.

1010133102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010133102120 is an abundant number, since it is smaller than the sum of its proper divisors (2033616063000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010133102120 is a wasteful number, since it uses less digits than its factorization.

1010133102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37082954 (or 37082950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010133102120 its reverse (212013310101), we get a palindrome (1222146412221).

The spelling of 1010133102120 in words is "one trillion, ten billion, one hundred thirty-three million, one hundred two thousand, one hundred twenty".