2102022100 has 36 divisors (see below), whose sum is σ = 4606572348. Its totient is φ = 832480000.

The previous prime is 2102022089. The next prime is 2102022101. The reversal of 2102022100 is 12202012.

It can be written as a sum of positive squares in 6 ways, for example, as 22297284 + 2079724816 = 4722^2 + 45604^2 .

It is a super-3 number, since 3×2102022100³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102022101) 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, 93961 + ... + 114160.

It is an arithmetic number, because the mean of its divisors is an integer number (127960343).

Almost surely, 2^2102022100 is an apocalyptic number.

2102022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102022100 is an abundant number, since it is smaller than the sum of its proper divisors (2504550248).

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

2102022100 is a wasteful number, since it uses less digits than its factorization.

2102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208236 (or 208229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102022100 is about 45847.8145607836. The cubic root of 2102022100 is about 1280.9900583906.

Adding to 2102022100 its reverse (12202012), we get a palindrome (2114224112).

The spelling of 2102022100 in words is "two billion, one hundred two million, twenty-two thousand, one hundred".