100034334410010 has 1024 divisors, whose sum is σ = 343845533122560. Its totient is φ = 17961375559680.

The previous prime is 100034334409979. The next prime is 100034334410053. The reversal of 100034334410010 is 10014433430001.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3081091797 + ... + 3081124263.

It is an arithmetic number, because the mean of its divisors is an integer number (335786653440).

Almost surely, 2^{100034334410010} is an apocalyptic number.

100034334410010 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 100034334410010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171922766561280).

100034334410010 is an abundant number, since it is smaller than the sum of its proper divisors (243811198712550).

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

100034334410010 is a wasteful number, since it uses less digits than its factorization.

100034334410010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32651.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100034334410010 its reverse (10014433430001), we get a palindrome (110048767840011).

The spelling of 100034334410010 in words is "one hundred trillion, thirty-four billion, three hundred thirty-four million, four hundred ten thousand, ten".