101101421120 has 224 divisors, whose sum is σ = 288416975616. Its totient is φ = 33030144000.

The previous prime is 101101421119. The next prime is 101101421171. The reversal of 101101421120 is 21124101101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101101421095 and 101101421104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3936320 + ... + 3961920.

It is an arithmetic number, because the mean of its divisors is an integer number (1287575784).

Almost surely, 2^101101421120 is an apocalyptic number.

101101421120 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 101101421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144208487808).

101101421120 is an abundant number, since it is smaller than the sum of its proper divisors (187315554496).

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

101101421120 is a wasteful number, since it uses less digits than its factorization.

101101421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25709 (or 25699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101421120 its reverse (21124101101), we get a palindrome (122225522221).

The spelling of 101101421120 in words is "one hundred one billion, one hundred one million, four hundred twenty-one thousand, one hundred twenty".