101330101001034 has 128 divisors (see below), whose sum is σ = 230994497986560. Its totient is φ = 32906575728000.

The previous prime is 101330101001029. The next prime is 101330101001057. The reversal of 101330101001034 is 430100101033101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101330101000998 and 101330101001016.

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, 5127253237 + ... + 5127272999.

It is an arithmetic number, because the mean of its divisors is an integer number (1804644515520).

Almost surely, 2^{101330101001034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330101001034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115497248993280).

101330101001034 is an abundant number, since it is smaller than the sum of its proper divisors (129664396985526).

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

101330101001034 is a wasteful number, since it uses less digits than its factorization.

101330101001034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953 (or 22947 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101330101001034 its reverse (430100101033101), we get a palindrome (531430202034135).

The spelling of 101330101001034 in words is "one hundred one trillion, three hundred thirty billion, one hundred one million, one thousand, thirty-four".