21101020322310 has 96 divisors (see below), whose sum is σ = 55419323113440. Its totient is φ = 5570058624000.

The previous prime is 21101020322257. The next prime is 21101020322329. The reversal of 21101020322310 is 1322302010112.

21101020322310 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 10 + 20 + 322 + 310 = 666.

It is a super-2 number, since 2×21101020322310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496196 + ... + 6959384.

It is an arithmetic number, because the mean of its divisors is an integer number (577284615765).

Almost surely, 2^{21101020322310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101020322310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27709661556720).

21101020322310 is an abundant number, since it is smaller than the sum of its proper divisors (34318302791130).

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

21101020322310 is a wasteful number, since it uses less digits than its factorization.

21101020322310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463734 (or 4463731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21101020322310 its reverse (1322302010112), we get a palindrome (22423322332422).

The spelling of 21101020322310 in words is "twenty-one trillion, one hundred one billion, twenty million, three hundred twenty-two thousand, three hundred ten".