1010122133010 has 128 divisors (see below), whose sum is σ = 2689695072000. Its totient is φ = 241740076032.

The previous prime is 1010122132951. The next prime is 1010122133101. The reversal of 1010122133010 is 103312210101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299596 + ... + 1452584.

It is an arithmetic number, because the mean of its divisors is an integer number (21013242750).

Almost surely, 2^{1010122133010} is an apocalyptic number.

1010122133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010122133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344847536000).

1010122133010 is an abundant number, since it is smaller than the sum of its proper divisors (1679572938990).

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

1010122133010 is a wasteful number, since it uses less digits than its factorization.

1010122133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153100.

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

Adding to 1010122133010 its reverse (103312210101), we get a palindrome (1113434343111).

The spelling of 1010122133010 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred thirty-three thousand, ten".