101104122213040 has 160 divisors (see below), whose sum is σ = 249352477920000. Its totient is φ = 38017527634944.

The previous prime is 101104122213007. The next prime is 101104122213047. The reversal of 101104122213040 is 40312221401101.

It is not an unprimeable number, because it can be changed into a prime (101104122213047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176068311 + ... + 176641609.

It is an arithmetic number, because the mean of its divisors is an integer number (1558452987000).

Almost surely, 2^{101104122213040} is an apocalyptic number.

101104122213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101104122213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124676238960000).

101104122213040 is an abundant number, since it is smaller than the sum of its proper divisors (148248355706960).

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

101104122213040 is a wasteful number, since it uses less digits than its factorization.

101104122213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574227 (or 574221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101104122213040 its reverse (40312221401101), we get a palindrome (141416343614141).

The spelling of 101104122213040 in words is "one hundred one trillion, one hundred four billion, one hundred twenty-two million, two hundred thirteen thousand, forty".