1002214340100 has 108 divisors (see below), whose sum is σ = 3144348944100. Its totient is φ = 267005011200.

The previous prime is 1002214340081. The next prime is 1002214340117. The reversal of 1002214340100 is 10434122001.

1002214340100 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 4 + 340 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47290591296 + 954923748804 = 217464^2 + 977202^2 .

It is a super-3 number, since 3×1002214340100³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430126 + ... + 1479674.

It is an arithmetic number, because the mean of its divisors is an integer number (29114342075).

Almost surely, 2^{1002214340100} is an apocalyptic number.

1002214340100 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 1002214340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572174472050).

1002214340100 is an abundant number, since it is smaller than the sum of its proper divisors (2142134604000).

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

1002214340100 is a wasteful number, since it uses less digits than its factorization.

1002214340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050630 (or 1050620 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1002214340100 its reverse (10434122001), we get a palindrome (1012648462101).

The spelling of 1002214340100 in words is "one trillion, two billion, two hundred fourteen million, three hundred forty thousand, one hundred".