2102231220100 has 72 divisors (see below), whose sum is σ = 4981913949600. Its totient is φ = 763624473600.

The previous prime is 2102231220073. The next prime is 2102231220127. The reversal of 2102231220100 is 10221322012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2102231220073) and next prime (2102231220127).

It is a super-2 number, since 2×2102231220100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690 + ... + 2050489.

It is an arithmetic number, because the mean of its divisors is an integer number (69193249300).

Almost surely, 2^{2102231220100} is an apocalyptic number.

2102231220100 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 2102231220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490956974800).

2102231220100 is an abundant number, since it is smaller than the sum of its proper divisors (2879682729500).

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

2102231220100 is a wasteful number, since it uses less digits than its factorization.

2102231220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058133 (or 2058126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2102231220100 its reverse (10221322012), we get a palindrome (2112452542112).

The spelling of 2102231220100 in words is "two trillion, one hundred two billion, two hundred thirty-one million, two hundred twenty thousand, one hundred".