101133043121010 has 128 divisors (see below), whose sum is σ = 265329258522624. Its totient is φ = 24559722823680.

The previous prime is 101133043120939. The next prime is 101133043121057. The reversal of 101133043121010 is 10121340331101.

101133043121010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 99683254 + ... + 100692686.

It is an arithmetic number, because the mean of its divisors is an integer number (2072884832208).

Almost surely, 2^{101133043121010} is an apocalyptic number.

101133043121010 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 101133043121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132664629261312).

101133043121010 is an abundant number, since it is smaller than the sum of its proper divisors (164196215401614).

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

101133043121010 is a wasteful number, since it uses less digits than its factorization.

101133043121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015828.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101133043121010 its reverse (10121340331101), we get a palindrome (111254383452111).

The spelling of 101133043121010 in words is "one hundred one trillion, one hundred thirty-three billion, forty-three million, one hundred twenty-one thousand, ten".