21100122222140 has 96 divisors (see below), whose sum is σ = 49301703144960. Its totient is φ = 7532816486400.

The previous prime is 21100122222139. The next prime is 21100122222149. The reversal of 21100122222140 is 4122222100112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100122222149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7940360 + ... + 10259120.

It is an arithmetic number, because the mean of its divisors is an integer number (513559407760).

Almost surely, 2^{21100122222140} is an apocalyptic number.

21100122222140 is a gapful number since it is divisible by the number (20) 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 21100122222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24650851572480).

21100122222140 is an abundant number, since it is smaller than the sum of its proper divisors (28201580922820).

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

21100122222140 is a wasteful number, since it uses less digits than its factorization.

21100122222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319943 (or 2319941 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21100122222140 its reverse (4122222100112), we get a palindrome (25222344322252).

The spelling of 21100122222140 in words is "twenty-one trillion, one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred forty".