1022100220100 has 36 divisors (see below), whose sum is σ = 2219082060804. Its totient is φ = 408632791680.

The previous prime is 1022100220091. The next prime is 1022100220109. The reversal of 1022100220100 is 10220012201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022100220091) and next prime (1022100220109).

It can be written as a sum of positive squares in 6 ways, for example, as 361963469956 + 660136750144 = 601634^2 + 812488^2 .

It is a super-3 number, since 3×1022100220100³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022100220109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2392919 + ... + 2787518.

Almost surely, 2^{1022100220100} is an apocalyptic number.

1022100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100220100 is an abundant number, since it is smaller than the sum of its proper divisors (1196981840704).

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

1022100220100 is a wasteful number, since it uses less digits than its factorization.

1022100220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182424 (or 5182417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022100220100 its reverse (10220012201), we get a palindrome (1032320232301).

The spelling of 1022100220100 in words is "one trillion, twenty-two billion, one hundred million, two hundred twenty thousand, one hundred".